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Finding the Fourth Proportional to 96,509.15, 144,705.29 and 43,191.20

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Solution

The fourth proportional to 96,509.15, 144,705.29 and 43,191.20 is: 64,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,509.15 : 144,705.29 = 43,191.20 : x
  2. Step 2: Convert to fraction form
    96,509.15/144,705.29 = 43,191.20/x
  3. Step 3: Cross multiply
    96,509.15x = 144,705.29 × 43,191.20
  4. Step 4: Simplify right side
    96,509.15x = 6,249,995,121.45
  5. Step 5: Solve for x
    x = 6,249,995,121.45/96,509.15
  6. Step 6: Final answer
    x = 64,760.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.