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Finding the Fourth Proportional to 154,702.52, 232,051.22 and 65,908.92

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Solution

The fourth proportional to 154,702.52, 232,051.22 and 65,908.92 is: 98,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,702.52 : 232,051.22 = 65,908.92 : x
  2. Step 2: Convert to fraction form
    154,702.52/232,051.22 = 65,908.92/x
  3. Step 3: Cross multiply
    154,702.52x = 232,051.22 × 65,908.92
  4. Step 4: Simplify right side
    154,702.52x = 15,294,245,294.88
  5. Step 5: Solve for x
    x = 15,294,245,294.88/154,702.52
  6. Step 6: Final answer
    x = 98,862.29

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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.