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Finding the Fourth Proportional to 261,104.42, 360,323.70 and 147,926.90

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Solution

The fourth proportional to 261,104.42, 360,323.70 and 147,926.90 is: 204,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,104.42 : 360,323.70 = 147,926.90 : x
  2. Step 2: Convert to fraction form
    261,104.42/360,323.70 = 147,926.90/x
  3. Step 3: Cross multiply
    261,104.42x = 360,323.70 × 147,926.90
  4. Step 4: Simplify right side
    261,104.42x = 53,301,567,937.53
  5. Step 5: Solve for x
    x = 53,301,567,937.53/261,104.42
  6. Step 6: Final answer
    x = 204,138.90

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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.