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Finding the Fourth Proportional to 461,957.59, 693,001.98 and 142,135.93

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Solution

The fourth proportional to 461,957.59, 693,001.98 and 142,135.93 is: 213,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,957.59 : 693,001.98 = 142,135.93 : x
  2. Step 2: Convert to fraction form
    461,957.59/693,001.98 = 142,135.93/x
  3. Step 3: Cross multiply
    461,957.59x = 693,001.98 × 142,135.93
  4. Step 4: Simplify right side
    461,957.59x = 98,500,480,919.14
  5. Step 5: Solve for x
    x = 98,500,480,919.14/461,957.59
  6. Step 6: Final answer
    x = 213,224.08

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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.