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Finding the Fourth Proportional to 128,122.20, 176,774.94 and 77,811.48

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Solution

The fourth proportional to 128,122.20, 176,774.94 and 77,811.48 is: 107,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,122.20 : 176,774.94 = 77,811.48 : x
  2. Step 2: Convert to fraction form
    128,122.20/176,774.94 = 77,811.48/x
  3. Step 3: Cross multiply
    128,122.20x = 176,774.94 × 77,811.48
  4. Step 4: Simplify right side
    128,122.20x = 13,755,119,708.31
  5. Step 5: Solve for x
    x = 13,755,119,708.31/128,122.20
  6. Step 6: Final answer
    x = 107,359.38

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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.