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Finding the Fourth Proportional to 270,820.30, 406,121.10 and 93,235.90

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Solution

The fourth proportional to 270,820.30, 406,121.10 and 93,235.90 is: 139,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,820.30 : 406,121.10 = 93,235.90 : x
  2. Step 2: Convert to fraction form
    270,820.30/406,121.10 = 93,235.90/x
  3. Step 3: Cross multiply
    270,820.30x = 406,121.10 × 93,235.90
  4. Step 4: Simplify right side
    270,820.30x = 37,865,066,267.49
  5. Step 5: Solve for x
    x = 37,865,066,267.49/270,820.30
  6. Step 6: Final answer
    x = 139,816.20

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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.