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Finding the Fourth Proportional to 272,376.16, 408,397.44 and 112,402.48

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Solution

The fourth proportional to 272,376.16, 408,397.44 and 112,402.48 is: 168,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,376.16 : 408,397.44 = 112,402.48 : x
  2. Step 2: Convert to fraction form
    272,376.16/408,397.44 = 112,402.48/x
  3. Step 3: Cross multiply
    272,376.16x = 408,397.44 × 112,402.48
  4. Step 4: Simplify right side
    272,376.16x = 45,904,885,081.65
  5. Step 5: Solve for x
    x = 45,904,885,081.65/272,376.16
  6. Step 6: Final answer
    x = 168,534.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.