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Finding the Fourth Proportional to 115,141, 158,947.95 and 81,177.16

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Solution

The fourth proportional to 115,141, 158,947.95 and 81,177.16 is: 112,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,141 : 158,947.95 = 81,177.16 : x
  2. Step 2: Convert to fraction form
    115,141/158,947.95 = 81,177.16/x
  3. Step 3: Cross multiply
    115,141x = 158,947.95 × 81,177.16
  4. Step 4: Simplify right side
    115,141x = 12,902,943,168.82
  5. Step 5: Solve for x
    x = 12,902,943,168.82/115,141
  6. Step 6: Final answer
    x = 112,062.11

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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.