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Finding the Fourth Proportional to 162,342.40, 224,013.11 and 89,735.49

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Solution

The fourth proportional to 162,342.40, 224,013.11 and 89,735.49 is: 123,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,342.40 : 224,013.11 = 89,735.49 : x
  2. Step 2: Convert to fraction form
    162,342.40/224,013.11 = 89,735.49/x
  3. Step 3: Cross multiply
    162,342.40x = 224,013.11 × 89,735.49
  4. Step 4: Simplify right side
    162,342.40x = 20,101,925,174.14
  5. Step 5: Solve for x
    x = 20,101,925,174.14/162,342.40
  6. Step 6: Final answer
    x = 123,824.24

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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.