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Finding the Fourth Proportional to 175,494, 242,182.68 and 96,006

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Solution

The fourth proportional to 175,494, 242,182.68 and 96,006 is: 132,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,494 : 242,182.68 = 96,006 : x
  2. Step 2: Convert to fraction form
    175,494/242,182.68 = 96,006/x
  3. Step 3: Cross multiply
    175,494x = 242,182.68 × 96,006
  4. Step 4: Simplify right side
    175,494x = 23,250,990,376.08
  5. Step 5: Solve for x
    x = 23,250,990,376.08/175,494
  6. Step 6: Final answer
    x = 132,488.81

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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.