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Finding the Fourth Proportional to 225,190.42, 310,814.67 and 148,724.62

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Solution

The fourth proportional to 225,190.42, 310,814.67 and 148,724.62 is: 205,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,190.42 : 310,814.67 = 148,724.62 : x
  2. Step 2: Convert to fraction form
    225,190.42/310,814.67 = 148,724.62/x
  3. Step 3: Cross multiply
    225,190.42x = 310,814.67 × 148,724.62
  4. Step 4: Simplify right side
    225,190.42x = 46,225,793,686.18
  5. Step 5: Solve for x
    x = 46,225,793,686.18/225,190.42
  6. Step 6: Final answer
    x = 205,274.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.