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Finding the Fourth Proportional to 96,309.80, 144,464.70 and 61,404.20

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Solution

The fourth proportional to 96,309.80, 144,464.70 and 61,404.20 is: 92,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309.80 : 144,464.70 = 61,404.20 : x
  2. Step 2: Convert to fraction form
    96,309.80/144,464.70 = 61,404.20/x
  3. Step 3: Cross multiply
    96,309.80x = 144,464.70 × 61,404.20
  4. Step 4: Simplify right side
    96,309.80x = 8,870,739,331.74
  5. Step 5: Solve for x
    x = 8,870,739,331.74/96,309.80
  6. Step 6: Final answer
    x = 92,106.30

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1.5x scale

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.