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Finding the Fourth Proportional to 115,102.64, 158,839.22 and 64,115.24

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Solution

The fourth proportional to 115,102.64, 158,839.22 and 64,115.24 is: 88,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,102.64 : 158,839.22 = 64,115.24 : x
  2. Step 2: Convert to fraction form
    115,102.64/158,839.22 = 64,115.24/x
  3. Step 3: Cross multiply
    115,102.64x = 158,839.22 × 64,115.24
  4. Step 4: Simplify right side
    115,102.64x = 10,184,014,711.71
  5. Step 5: Solve for x
    x = 10,184,014,711.71/115,102.64
  6. Step 6: Final answer
    x = 88,477.68

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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.