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Finding the Fourth Proportional to 115,102.20, 158,829.66 and 64,113.12

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Solution

The fourth proportional to 115,102.20, 158,829.66 and 64,113.12 is: 88,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,102.20 : 158,829.66 = 64,113.12 : x
  2. Step 2: Convert to fraction form
    115,102.20/158,829.66 = 64,113.12/x
  3. Step 3: Cross multiply
    115,102.20x = 158,829.66 × 64,113.12
  4. Step 4: Simplify right side
    115,102.20x = 10,183,065,051.14
  5. Step 5: Solve for x
    x = 10,183,065,051.14/115,102.20
  6. Step 6: Final answer
    x = 88,469.77

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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.