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Finding the Fourth Proportional to 157,005.92, 216,666.11 and 85,384.41

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Solution

The fourth proportional to 157,005.92, 216,666.11 and 85,384.41 is: 117,829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,005.92 : 216,666.11 = 85,384.41 : x
  2. Step 2: Convert to fraction form
    157,005.92/216,666.11 = 85,384.41/x
  3. Step 3: Cross multiply
    157,005.92x = 216,666.11 × 85,384.41
  4. Step 4: Simplify right side
    157,005.92x = 18,499,907,542.42
  5. Step 5: Solve for x
    x = 18,499,907,542.42/157,005.92
  6. Step 6: Final answer
    x = 117,829.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.