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Finding the Fourth Proportional to 128,008.36, 176,658.42 and 71,419.24

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Solution

The fourth proportional to 128,008.36, 176,658.42 and 71,419.24 is: 98,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,008.36 : 176,658.42 = 71,419.24 : x
  2. Step 2: Convert to fraction form
    128,008.36/176,658.42 = 71,419.24/x
  3. Step 3: Cross multiply
    128,008.36x = 176,658.42 × 71,419.24
  4. Step 4: Simplify right side
    128,008.36x = 12,616,810,096.00
  5. Step 5: Solve for x
    x = 12,616,810,096.00/128,008.36
  6. Step 6: Final answer
    x = 98,562.39

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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.