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Finding the Fourth Proportional to 124,225.60, 185,949.60 and 97,787.20

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Solution

The fourth proportional to 124,225.60, 185,949.60 and 97,787.20 is: 146,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,225.60 : 185,949.60 = 97,787.20 : x
  2. Step 2: Convert to fraction form
    124,225.60/185,949.60 = 97,787.20/x
  3. Step 3: Cross multiply
    124,225.60x = 185,949.60 × 97,787.20
  4. Step 4: Simplify right side
    124,225.60x = 18,183,490,725.12
  5. Step 5: Solve for x
    x = 18,183,490,725.12/124,225.60
  6. Step 6: Final answer
    x = 146,374.75

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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.