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Finding the Fourth Proportional to 261,532.44, 360,904.14 and 148,352.76

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Solution

The fourth proportional to 261,532.44, 360,904.14 and 148,352.76 is: 204,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,532.44 : 360,904.14 = 148,352.76 : x
  2. Step 2: Convert to fraction form
    261,532.44/360,904.14 = 148,352.76/x
  3. Step 3: Cross multiply
    261,532.44x = 360,904.14 × 148,352.76
  4. Step 4: Simplify right side
    261,532.44x = 53,541,125,264.43
  5. Step 5: Solve for x
    x = 53,541,125,264.43/261,532.44
  6. Step 6: Final answer
    x = 204,720.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.