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Finding the Fourth Proportional to 175,498, 242,188.20 and 96,010

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Solution

The fourth proportional to 175,498, 242,188.20 and 96,010 is: 132,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,498 : 242,188.20 = 96,010 : x
  2. Step 2: Convert to fraction form
    175,498/242,188.20 = 96,010/x
  3. Step 3: Cross multiply
    175,498x = 242,188.20 × 96,010
  4. Step 4: Simplify right side
    175,498x = 23,252,489,082
  5. Step 5: Solve for x
    x = 23,252,489,082/175,498
  6. Step 6: Final answer
    x = 132,494.33

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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.