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Finding the Fourth Proportional to 102,252.88, 153,404.18 and 34,789.40

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Solution

The fourth proportional to 102,252.88, 153,404.18 and 34,789.40 is: 52,192.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,252.88 : 153,404.18 = 34,789.40 : x
  2. Step 2: Convert to fraction form
    102,252.88/153,404.18 = 34,789.40/x
  3. Step 3: Cross multiply
    102,252.88x = 153,404.18 × 34,789.40
  4. Step 4: Simplify right side
    102,252.88x = 5,336,838,699.64
  5. Step 5: Solve for x
    x = 5,336,838,699.64/102,252.88
  6. Step 6: Final answer
    x = 52,192.55

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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.