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Finding the Fourth Proportional to 108,002.16, 161,859.87 and 57,390.53

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Solution

The fourth proportional to 108,002.16, 161,859.87 and 57,390.53 is: 86,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.16 : 161,859.87 = 57,390.53 : x
  2. Step 2: Convert to fraction form
    108,002.16/161,859.87 = 57,390.53/x
  3. Step 3: Cross multiply
    108,002.16x = 161,859.87 × 57,390.53
  4. Step 4: Simplify right side
    108,002.16x = 9,289,222,915.73
  5. Step 5: Solve for x
    x = 9,289,222,915.73/108,002.16
  6. Step 6: Final answer
    x = 86,009.60

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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.