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Finding the Fourth Proportional to 175,854.72, 242,696.88 and 100,414.56

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Solution

The fourth proportional to 175,854.72, 242,696.88 and 100,414.56 is: 138,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,854.72 : 242,696.88 = 100,414.56 : x
  2. Step 2: Convert to fraction form
    175,854.72/242,696.88 = 100,414.56/x
  3. Step 3: Cross multiply
    175,854.72x = 242,696.88 × 100,414.56
  4. Step 4: Simplify right side
    175,854.72x = 24,370,300,418.57
  5. Step 5: Solve for x
    x = 24,370,300,418.57/175,854.72
  6. Step 6: Final answer
    x = 138,582.01

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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.