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Finding the Fourth Proportional to 175,365.36, 242,084.70 and 102,758.13

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Solution

The fourth proportional to 175,365.36, 242,084.70 and 102,758.13 is: 141,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,365.36 : 242,084.70 = 102,758.13 : x
  2. Step 2: Convert to fraction form
    175,365.36/242,084.70 = 102,758.13/x
  3. Step 3: Cross multiply
    175,365.36x = 242,084.70 × 102,758.13
  4. Step 4: Simplify right side
    175,365.36x = 24,876,171,073.61
  5. Step 5: Solve for x
    x = 24,876,171,073.61/175,365.36
  6. Step 6: Final answer
    x = 141,853.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.