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Finding the Fourth Proportional to 138,046.32, 190,503.18 and 77,617.08

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Solution

The fourth proportional to 138,046.32, 190,503.18 and 77,617.08 is: 107,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,046.32 : 190,503.18 = 77,617.08 : x
  2. Step 2: Convert to fraction form
    138,046.32/190,503.18 = 77,617.08/x
  3. Step 3: Cross multiply
    138,046.32x = 190,503.18 × 77,617.08
  4. Step 4: Simplify right side
    138,046.32x = 14,786,300,562.31
  5. Step 5: Solve for x
    x = 14,786,300,562.31/138,046.32
  6. Step 6: Final answer
    x = 107,111.15

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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.