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Finding the Fourth Proportional to 137,167.38, 189,283.32 and 76,726.35

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Solution

The fourth proportional to 137,167.38, 189,283.32 and 76,726.35 is: 105,878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,167.38 : 189,283.32 = 76,726.35 : x
  2. Step 2: Convert to fraction form
    137,167.38/189,283.32 = 76,726.35/x
  3. Step 3: Cross multiply
    137,167.38x = 189,283.32 × 76,726.35
  4. Step 4: Simplify right side
    137,167.38x = 14,523,018,259.48
  5. Step 5: Solve for x
    x = 14,523,018,259.48/137,167.38
  6. Step 6: Final answer
    x = 105,878.08

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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.