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Finding the Fourth Proportional to 161,809.20, 242,616.60 and 83,077.20

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Solution

The fourth proportional to 161,809.20, 242,616.60 and 83,077.20 is: 124,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,809.20 : 242,616.60 = 83,077.20 : x
  2. Step 2: Convert to fraction form
    161,809.20/242,616.60 = 83,077.20/x
  3. Step 3: Cross multiply
    161,809.20x = 242,616.60 × 83,077.20
  4. Step 4: Simplify right side
    161,809.20x = 20,155,907,801.52
  5. Step 5: Solve for x
    x = 20,155,907,801.52/161,809.20
  6. Step 6: Final answer
    x = 124,565.89

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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.