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Finding the Fourth Proportional to 157,099.20, 235,648.80 and 154,766.40

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Solution

The fourth proportional to 157,099.20, 235,648.80 and 154,766.40 is: 232,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,099.20 : 235,648.80 = 154,766.40 : x
  2. Step 2: Convert to fraction form
    157,099.20/235,648.80 = 154,766.40/x
  3. Step 3: Cross multiply
    157,099.20x = 235,648.80 × 154,766.40
  4. Step 4: Simplify right side
    157,099.20x = 36,470,516,440.32
  5. Step 5: Solve for x
    x = 36,470,516,440.32/157,099.20
  6. Step 6: Final answer
    x = 232,149.60

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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.