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Finding the Fourth Proportional to 115,024, 158,739.60 and 64,726.24

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Solution

The fourth proportional to 115,024, 158,739.60 and 64,726.24 is: 89,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,024 : 158,739.60 = 64,726.24 : x
  2. Step 2: Convert to fraction form
    115,024/158,739.60 = 64,726.24/x
  3. Step 3: Cross multiply
    115,024x = 158,739.60 × 64,726.24
  4. Step 4: Simplify right side
    115,024x = 10,274,617,447.10
  5. Step 5: Solve for x
    x = 10,274,617,447.10/115,024
  6. Step 6: Final answer
    x = 89,325.86

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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.