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Finding the Fourth Proportional to 225,223.74, 310,808.88 and 140,341.14

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Solution

The fourth proportional to 225,223.74, 310,808.88 and 140,341.14 is: 193,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,223.74 : 310,808.88 = 140,341.14 : x
  2. Step 2: Convert to fraction form
    225,223.74/310,808.88 = 140,341.14/x
  3. Step 3: Cross multiply
    225,223.74x = 310,808.88 × 140,341.14
  4. Step 4: Simplify right side
    225,223.74x = 43,619,272,541.32
  5. Step 5: Solve for x
    x = 43,619,272,541.32/225,223.74
  6. Step 6: Final answer
    x = 193,670.85

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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.