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Finding the Fourth Proportional to 155,138.52, 232,708.54 and 61,644.04

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Solution

The fourth proportional to 155,138.52, 232,708.54 and 61,644.04 is: 92,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,138.52 : 232,708.54 = 61,644.04 : x
  2. Step 2: Convert to fraction form
    155,138.52/232,708.54 = 61,644.04/x
  3. Step 3: Cross multiply
    155,138.52x = 232,708.54 × 61,644.04
  4. Step 4: Simplify right side
    155,138.52x = 14,345,094,548.10
  5. Step 5: Solve for x
    x = 14,345,094,548.10/155,138.52
  6. Step 6: Final answer
    x = 92,466.36

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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.