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Finding the Fourth Proportional to 235,957.76, 353,989.20 and 86,197.82

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Solution

The fourth proportional to 235,957.76, 353,989.20 and 86,197.82 is: 129,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,957.76 : 353,989.20 = 86,197.82 : x
  2. Step 2: Convert to fraction form
    235,957.76/353,989.20 = 86,197.82/x
  3. Step 3: Cross multiply
    235,957.76x = 353,989.20 × 86,197.82
  4. Step 4: Simplify right side
    235,957.76x = 30,513,097,343.54
  5. Step 5: Solve for x
    x = 30,513,097,343.54/235,957.76
  6. Step 6: Final answer
    x = 129,315.93

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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.