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Finding the Fourth Proportional to 106,405.60, 159,608.40 and 62,082.40

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Solution

The fourth proportional to 106,405.60, 159,608.40 and 62,082.40 is: 93,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,405.60 : 159,608.40 = 62,082.40 : x
  2. Step 2: Convert to fraction form
    106,405.60/159,608.40 = 62,082.40/x
  3. Step 3: Cross multiply
    106,405.60x = 159,608.40 × 62,082.40
  4. Step 4: Simplify right side
    106,405.60x = 9,908,872,532.16
  5. Step 5: Solve for x
    x = 9,908,872,532.16/106,405.60
  6. Step 6: Final answer
    x = 93,123.60

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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.