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Finding the Fourth Proportional to 128,095.20, 176,688.90 and 77,794.20

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Solution

The fourth proportional to 128,095.20, 176,688.90 and 77,794.20 is: 107,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,095.20 : 176,688.90 = 77,794.20 : x
  2. Step 2: Convert to fraction form
    128,095.20/176,688.90 = 77,794.20/x
  3. Step 3: Cross multiply
    128,095.20x = 176,688.90 × 77,794.20
  4. Step 4: Simplify right side
    128,095.20x = 13,745,371,624.38
  5. Step 5: Solve for x
    x = 13,745,371,624.38/128,095.20
  6. Step 6: Final answer
    x = 107,305.91

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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.