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Finding the Fourth Proportional to 229,194.10, 316,254.13 and 127,220.32

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Solution

The fourth proportional to 229,194.10, 316,254.13 and 127,220.32 is: 175,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194.10 : 316,254.13 = 127,220.32 : x
  2. Step 2: Convert to fraction form
    229,194.10/316,254.13 = 127,220.32/x
  3. Step 3: Cross multiply
    229,194.10x = 316,254.13 × 127,220.32
  4. Step 4: Simplify right side
    229,194.10x = 40,233,951,619.92
  5. Step 5: Solve for x
    x = 40,233,951,619.92/229,194.10
  6. Step 6: Final answer
    x = 175,545.32

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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.