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Finding the Fourth Proportional to 283,466.52, 391,184.88 and 156,141.84

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Solution

The fourth proportional to 283,466.52, 391,184.88 and 156,141.84 is: 215,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,466.52 : 391,184.88 = 156,141.84 : x
  2. Step 2: Convert to fraction form
    283,466.52/391,184.88 = 156,141.84/x
  3. Step 3: Cross multiply
    283,466.52x = 391,184.88 × 156,141.84
  4. Step 4: Simplify right side
    283,466.52x = 61,080,326,943.38
  5. Step 5: Solve for x
    x = 61,080,326,943.38/283,466.52
  6. Step 6: Final answer
    x = 215,476.34

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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.