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Finding the Fourth Proportional to 115,886.01, 159,938.90 and 83,724.72

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Solution

The fourth proportional to 115,886.01, 159,938.90 and 83,724.72 is: 115,551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,886.01 : 159,938.90 = 83,724.72 : x
  2. Step 2: Convert to fraction form
    115,886.01/159,938.90 = 83,724.72/x
  3. Step 3: Cross multiply
    115,886.01x = 159,938.90 × 83,724.72
  4. Step 4: Simplify right side
    115,886.01x = 13,390,838,401.29
  5. Step 5: Solve for x
    x = 13,390,838,401.29/115,886.01
  6. Step 6: Final answer
    x = 115,551.82

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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.