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Finding the Fourth Proportional to 137,315.25, 189,498.56 and 76,898.66

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Solution

The fourth proportional to 137,315.25, 189,498.56 and 76,898.66 is: 106,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,315.25 : 189,498.56 = 76,898.66 : x
  2. Step 2: Convert to fraction form
    137,315.25/189,498.56 = 76,898.66/x
  3. Step 3: Cross multiply
    137,315.25x = 189,498.56 × 76,898.66
  4. Step 4: Simplify right side
    137,315.25x = 14,572,184,003.94
  5. Step 5: Solve for x
    x = 14,572,184,003.94/137,315.25
  6. Step 6: Final answer
    x = 106,122.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.