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Finding the Fourth Proportional to 175,950.78, 242,824.95 and 100,497.66

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Solution

The fourth proportional to 175,950.78, 242,824.95 and 100,497.66 is: 138,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,950.78 : 242,824.95 = 100,497.66 : x
  2. Step 2: Convert to fraction form
    175,950.78/242,824.95 = 100,497.66/x
  3. Step 3: Cross multiply
    175,950.78x = 242,824.95 × 100,497.66
  4. Step 4: Simplify right side
    175,950.78x = 24,403,339,264.62
  5. Step 5: Solve for x
    x = 24,403,339,264.62/175,950.78
  6. Step 6: Final answer
    x = 138,694.12

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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.