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Finding the Fourth Proportional to 270,646.80, 406,027.80 and 83,677.20

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Solution

The fourth proportional to 270,646.80, 406,027.80 and 83,677.20 is: 125,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,646.80 : 406,027.80 = 83,677.20 : x
  2. Step 2: Convert to fraction form
    270,646.80/406,027.80 = 83,677.20/x
  3. Step 3: Cross multiply
    270,646.80x = 406,027.80 × 83,677.20
  4. Step 4: Simplify right side
    270,646.80x = 33,975,269,426.16
  5. Step 5: Solve for x
    x = 33,975,269,426.16/270,646.80
  6. Step 6: Final answer
    x = 125,533.61

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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.