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Finding the Fourth Proportional to 117,730.31, 176,358.74 and 54,461.61

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Solution

The fourth proportional to 117,730.31, 176,358.74 and 54,461.61 is: 81,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,730.31 : 176,358.74 = 54,461.61 : x
  2. Step 2: Convert to fraction form
    117,730.31/176,358.74 = 54,461.61/x
  3. Step 3: Cross multiply
    117,730.31x = 176,358.74 × 54,461.61
  4. Step 4: Simplify right side
    117,730.31x = 9,604,780,645.66
  5. Step 5: Solve for x
    x = 9,604,780,645.66/117,730.31
  6. Step 6: Final answer
    x = 81,582.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.