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Finding the Fourth Proportional to 354,829.54, 532,251.87 and 127,140.03

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Solution

The fourth proportional to 354,829.54, 532,251.87 and 127,140.03 is: 190,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,829.54 : 532,251.87 = 127,140.03 : x
  2. Step 2: Convert to fraction form
    354,829.54/532,251.87 = 127,140.03/x
  3. Step 3: Cross multiply
    354,829.54x = 532,251.87 × 127,140.03
  4. Step 4: Simplify right side
    354,829.54x = 67,670,518,719.36
  5. Step 5: Solve for x
    x = 67,670,518,719.36/354,829.54
  6. Step 6: Final answer
    x = 190,712.75

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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.