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Finding the Fourth Proportional to 137,210.04, 205,839.54 and 48,515.04

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Solution

The fourth proportional to 137,210.04, 205,839.54 and 48,515.04 is: 72,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210.04 : 205,839.54 = 48,515.04 : x
  2. Step 2: Convert to fraction form
    137,210.04/205,839.54 = 48,515.04/x
  3. Step 3: Cross multiply
    137,210.04x = 205,839.54 × 48,515.04
  4. Step 4: Simplify right side
    137,210.04x = 9,986,313,516.68
  5. Step 5: Solve for x
    x = 9,986,313,516.68/137,210.04
  6. Step 6: Final answer
    x = 72,781.22

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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.