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Finding the Fourth Proportional to 152,959.76, 229,180.80 and 93,671.66

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Solution

The fourth proportional to 152,959.76, 229,180.80 and 93,671.66 is: 140,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,959.76 : 229,180.80 = 93,671.66 : x
  2. Step 2: Convert to fraction form
    152,959.76/229,180.80 = 93,671.66/x
  3. Step 3: Cross multiply
    152,959.76x = 229,180.80 × 93,671.66
  4. Step 4: Simplify right side
    152,959.76x = 21,467,745,976.13
  5. Step 5: Solve for x
    x = 21,467,745,976.13/152,959.76
  6. Step 6: Final answer
    x = 140,348.98

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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.