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Finding the Fourth Proportional to 100,783.80, 151,209.86 and 44,616.15

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Solution

The fourth proportional to 100,783.80, 151,209.86 and 44,616.15 is: 66,939.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,783.80 : 151,209.86 = 44,616.15 : x
  2. Step 2: Convert to fraction form
    100,783.80/151,209.86 = 44,616.15/x
  3. Step 3: Cross multiply
    100,783.80x = 151,209.86 × 44,616.15
  4. Step 4: Simplify right side
    100,783.80x = 6,746,401,572.16
  5. Step 5: Solve for x
    x = 6,746,401,572.16/100,783.80
  6. Step 6: Final answer
    x = 66,939.35

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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.