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Finding the Fourth Proportional to 153,314.57, 230,010.12 and 53,476.20

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Solution

The fourth proportional to 153,314.57, 230,010.12 and 53,476.20 is: 80,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314.57 : 230,010.12 = 53,476.20 : x
  2. Step 2: Convert to fraction form
    153,314.57/230,010.12 = 53,476.20/x
  3. Step 3: Cross multiply
    153,314.57x = 230,010.12 × 53,476.20
  4. Step 4: Simplify right side
    153,314.57x = 12,300,067,179.14
  5. Step 5: Solve for x
    x = 12,300,067,179.14/153,314.57
  6. Step 6: Final answer
    x = 80,227.65

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1.5x scale

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.