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Finding the Fourth Proportional to 261,002.98, 360,209.39 and 146,301.11

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Solution

The fourth proportional to 261,002.98, 360,209.39 and 146,301.11 is: 201,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,002.98 : 360,209.39 = 146,301.11 : x
  2. Step 2: Convert to fraction form
    261,002.98/360,209.39 = 146,301.11/x
  3. Step 3: Cross multiply
    261,002.98x = 360,209.39 × 146,301.11
  4. Step 4: Simplify right side
    261,002.98x = 52,699,033,589.42
  5. Step 5: Solve for x
    x = 52,699,033,589.42/261,002.98
  6. Step 6: Final answer
    x = 201,909.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.