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Finding the Fourth Proportional to 270,965.34, 406,298.70 and 93,325.86

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Solution

The fourth proportional to 270,965.34, 406,298.70 and 93,325.86 is: 139,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,965.34 : 406,298.70 = 93,325.86 : x
  2. Step 2: Convert to fraction form
    270,965.34/406,298.70 = 93,325.86/x
  3. Step 3: Cross multiply
    270,965.34x = 406,298.70 × 93,325.86
  4. Step 4: Simplify right side
    270,965.34x = 37,918,175,594.38
  5. Step 5: Solve for x
    x = 37,918,175,594.38/270,965.34
  6. Step 6: Final answer
    x = 139,937.36

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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.