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Finding the Fourth Proportional to 270,918.80, 406,397.68 and 93,423.25

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Solution

The fourth proportional to 270,918.80, 406,397.68 and 93,423.25 is: 140,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,918.80 : 406,397.68 = 93,423.25 : x
  2. Step 2: Convert to fraction form
    270,918.80/406,397.68 = 93,423.25/x
  3. Step 3: Cross multiply
    270,918.80x = 406,397.68 × 93,423.25
  4. Step 4: Simplify right side
    270,918.80x = 37,966,992,058.06
  5. Step 5: Solve for x
    x = 37,966,992,058.06/270,918.80
  6. Step 6: Final answer
    x = 140,141.59

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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.