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Finding the Fourth Proportional to 157,008.42, 216,669.54 and 85,386.92

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Solution

The fourth proportional to 157,008.42, 216,669.54 and 85,386.92 is: 117,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,008.42 : 216,669.54 = 85,386.92 : x
  2. Step 2: Convert to fraction form
    157,008.42/216,669.54 = 85,386.92/x
  3. Step 3: Cross multiply
    157,008.42x = 216,669.54 × 85,386.92
  4. Step 4: Simplify right side
    157,008.42x = 18,500,744,678.42
  5. Step 5: Solve for x
    x = 18,500,744,678.42/157,008.42
  6. Step 6: Final answer
    x = 117,832.82

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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.