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Finding the Fourth Proportional to 154,702.70, 232,120.20 and 64,766.42

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Solution

The fourth proportional to 154,702.70, 232,120.20 and 64,766.42 is: 97,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,702.70 : 232,120.20 = 64,766.42 : x
  2. Step 2: Convert to fraction form
    154,702.70/232,120.20 = 64,766.42/x
  3. Step 3: Cross multiply
    154,702.70x = 232,120.20 × 64,766.42
  4. Step 4: Simplify right side
    154,702.70x = 15,033,593,203.08
  5. Step 5: Solve for x
    x = 15,033,593,203.08/154,702.70
  6. Step 6: Final answer
    x = 97,177.32

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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.