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Finding the Fourth Proportional to 115,306.36, 159,122.58 and 65,005.36

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Solution

The fourth proportional to 115,306.36, 159,122.58 and 65,005.36 is: 89,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,306.36 : 159,122.58 = 65,005.36 : x
  2. Step 2: Convert to fraction form
    115,306.36/159,122.58 = 65,005.36/x
  3. Step 3: Cross multiply
    115,306.36x = 159,122.58 × 65,005.36
  4. Step 4: Simplify right side
    115,306.36x = 10,343,820,597.03
  5. Step 5: Solve for x
    x = 10,343,820,597.03/115,306.36
  6. Step 6: Final answer
    x = 89,707.29

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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.