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Finding the Fourth Proportional to 138,846.32, 191,607.58 and 75,184.11

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Solution

The fourth proportional to 138,846.32, 191,607.58 and 75,184.11 is: 103,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,846.32 : 191,607.58 = 75,184.11 : x
  2. Step 2: Convert to fraction form
    138,846.32/191,607.58 = 75,184.11/x
  3. Step 3: Cross multiply
    138,846.32x = 191,607.58 × 75,184.11
  4. Step 4: Simplify right side
    138,846.32x = 14,405,845,465.53
  5. Step 5: Solve for x
    x = 14,405,845,465.53/138,846.32
  6. Step 6: Final answer
    x = 103,753.89

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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.