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Finding the Fourth Proportional to 251,686.23, 347,326.88 and 138,508.98

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Solution

The fourth proportional to 251,686.23, 347,326.88 and 138,508.98 is: 191,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,686.23 : 347,326.88 = 138,508.98 : x
  2. Step 2: Convert to fraction form
    251,686.23/347,326.88 = 138,508.98/x
  3. Step 3: Cross multiply
    251,686.23x = 347,326.88 × 138,508.98
  4. Step 4: Simplify right side
    251,686.23x = 48,107,891,875.38
  5. Step 5: Solve for x
    x = 48,107,891,875.38/251,686.23
  6. Step 6: Final answer
    x = 191,142.33

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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.