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Finding the Fourth Proportional to 270,805.40, 406,226.54 and 71,125.44

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Solution

The fourth proportional to 270,805.40, 406,226.54 and 71,125.44 is: 106,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,805.40 : 406,226.54 = 71,125.44 : x
  2. Step 2: Convert to fraction form
    270,805.40/406,226.54 = 71,125.44/x
  3. Step 3: Cross multiply
    270,805.40x = 406,226.54 × 71,125.44
  4. Step 4: Simplify right side
    270,805.40x = 28,893,041,397.18
  5. Step 5: Solve for x
    x = 28,893,041,397.18/270,805.40
  6. Step 6: Final answer
    x = 106,693.00

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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.