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Finding the Fourth Proportional to 354,798.47, 532,282.44 and 118,143.20

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Solution

The fourth proportional to 354,798.47, 532,282.44 and 118,143.20 is: 177,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,798.47 : 532,282.44 = 118,143.20 : x
  2. Step 2: Convert to fraction form
    354,798.47/532,282.44 = 118,143.20/x
  3. Step 3: Cross multiply
    354,798.47x = 532,282.44 × 118,143.20
  4. Step 4: Simplify right side
    354,798.47x = 62,885,550,765.41
  5. Step 5: Solve for x
    x = 62,885,550,765.41/354,798.47
  6. Step 6: Final answer
    x = 177,243.02

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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.