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Finding the Fourth Proportional to 355,732.80, 533,145.60 and 145,132.80

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Solution

The fourth proportional to 355,732.80, 533,145.60 and 145,132.80 is: 217,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,732.80 : 533,145.60 = 145,132.80 : x
  2. Step 2: Convert to fraction form
    355,732.80/533,145.60 = 145,132.80/x
  3. Step 3: Cross multiply
    355,732.80x = 533,145.60 × 145,132.80
  4. Step 4: Simplify right side
    355,732.80x = 77,376,913,735.68
  5. Step 5: Solve for x
    x = 77,376,913,735.68/355,732.80
  6. Step 6: Final answer
    x = 217,514.14

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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.