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Finding the Fourth Proportional to 128,419.38, 177,218.94 and 71,830.76

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Solution

The fourth proportional to 128,419.38, 177,218.94 and 71,830.76 is: 99,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,419.38 : 177,218.94 = 71,830.76 : x
  2. Step 2: Convert to fraction form
    128,419.38/177,218.94 = 71,830.76/x
  3. Step 3: Cross multiply
    128,419.38x = 177,218.94 × 71,830.76
  4. Step 4: Simplify right side
    128,419.38x = 12,729,771,146.59
  5. Step 5: Solve for x
    x = 12,729,771,146.59/128,419.38
  6. Step 6: Final answer
    x = 99,126.56

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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.