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Finding the Fourth Proportional to 128,411.94, 177,198.85 and 71,812.38

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Solution

The fourth proportional to 128,411.94, 177,198.85 and 71,812.38 is: 99,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,411.94 : 177,198.85 = 71,812.38 : x
  2. Step 2: Convert to fraction form
    128,411.94/177,198.85 = 71,812.38/x
  3. Step 3: Cross multiply
    128,411.94x = 177,198.85 × 71,812.38
  4. Step 4: Simplify right side
    128,411.94x = 12,725,071,151.76
  5. Step 5: Solve for x
    x = 12,725,071,151.76/128,411.94
  6. Step 6: Final answer
    x = 99,095.70

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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.