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Finding the Fourth Proportional to 231,142, 346,531.29 and 155,317.50

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Solution

The fourth proportional to 231,142, 346,531.29 and 155,317.50 is: 232,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,142 : 346,531.29 = 155,317.50 : x
  2. Step 2: Convert to fraction form
    231,142/346,531.29 = 155,317.50/x
  3. Step 3: Cross multiply
    231,142x = 346,531.29 × 155,317.50
  4. Step 4: Simplify right side
    231,142x = 53,822,373,634.58
  5. Step 5: Solve for x
    x = 53,822,373,634.58/231,142
  6. Step 6: Final answer
    x = 232,854.15

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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.