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Finding the Fourth Proportional to 272,663.83, 409,114.82 and 95,298.13

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Solution

The fourth proportional to 272,663.83, 409,114.82 and 95,298.13 is: 142,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,663.83 : 409,114.82 = 95,298.13 : x
  2. Step 2: Convert to fraction form
    272,663.83/409,114.82 = 95,298.13/x
  3. Step 3: Cross multiply
    272,663.83x = 409,114.82 × 95,298.13
  4. Step 4: Simplify right side
    272,663.83x = 38,987,877,301.29
  5. Step 5: Solve for x
    x = 38,987,877,301.29/272,663.83
  6. Step 6: Final answer
    x = 142,988.81

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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.