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Finding the Fourth Proportional to 233,186.70, 321,854.67 and 152,808.78

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Solution

The fourth proportional to 233,186.70, 321,854.67 and 152,808.78 is: 210,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,186.70 : 321,854.67 = 152,808.78 : x
  2. Step 2: Convert to fraction form
    233,186.70/321,854.67 = 152,808.78/x
  3. Step 3: Cross multiply
    233,186.70x = 321,854.67 × 152,808.78
  4. Step 4: Simplify right side
    233,186.70x = 49,182,219,460.00
  5. Step 5: Solve for x
    x = 49,182,219,460.00/233,186.70
  6. Step 6: Final answer
    x = 210,913.48

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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.