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Finding the Fourth Proportional to 115,261.72, 159,056.25 and 85,036.16

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Solution

The fourth proportional to 115,261.72, 159,056.25 and 85,036.16 is: 117,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,261.72 : 159,056.25 = 85,036.16 : x
  2. Step 2: Convert to fraction form
    115,261.72/159,056.25 = 85,036.16/x
  3. Step 3: Cross multiply
    115,261.72x = 159,056.25 × 85,036.16
  4. Step 4: Simplify right side
    115,261.72x = 13,525,532,724
  5. Step 5: Solve for x
    x = 13,525,532,724/115,261.72
  6. Step 6: Final answer
    x = 117,346.27

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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.