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Finding the Fourth Proportional to 137,095.85, 189,188.72 and 75,844.30

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Solution

The fourth proportional to 137,095.85, 189,188.72 and 75,844.30 is: 104,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,095.85 : 189,188.72 = 75,844.30 : x
  2. Step 2: Convert to fraction form
    137,095.85/189,188.72 = 75,844.30/x
  3. Step 3: Cross multiply
    137,095.85x = 189,188.72 × 75,844.30
  4. Step 4: Simplify right side
    137,095.85x = 14,348,885,302.35
  5. Step 5: Solve for x
    x = 14,348,885,302.35/137,095.85
  6. Step 6: Final answer
    x = 104,663.17

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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.