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Finding the Fourth Proportional to 96,315.80, 144,473.70 and 61,410.20

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Solution

The fourth proportional to 96,315.80, 144,473.70 and 61,410.20 is: 92,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,315.80 : 144,473.70 = 61,410.20 : x
  2. Step 2: Convert to fraction form
    96,315.80/144,473.70 = 61,410.20/x
  3. Step 3: Cross multiply
    96,315.80x = 144,473.70 × 61,410.20
  4. Step 4: Simplify right side
    96,315.80x = 8,872,158,811.74
  5. Step 5: Solve for x
    x = 8,872,158,811.74/96,315.80
  6. Step 6: Final answer
    x = 92,115.30

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Why These Related Problems?

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