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Finding the Fourth Proportional to 176,752.70, 243,934.98 and 100,296.80

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Solution

The fourth proportional to 176,752.70, 243,934.98 and 100,296.80 is: 138,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,752.70 : 243,934.98 = 100,296.80 : x
  2. Step 2: Convert to fraction form
    176,752.70/243,934.98 = 100,296.80/x
  3. Step 3: Cross multiply
    176,752.70x = 243,934.98 × 100,296.80
  4. Step 4: Simplify right side
    176,752.70x = 24,465,897,902.06
  5. Step 5: Solve for x
    x = 24,465,897,902.06/176,752.70
  6. Step 6: Final answer
    x = 138,418.81

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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.