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Finding the Fourth Proportional to 233,046.20, 349,832.10 and 154,314.20

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Solution

The fourth proportional to 233,046.20, 349,832.10 and 154,314.20 is: 231,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,046.20 : 349,832.10 = 154,314.20 : x
  2. Step 2: Convert to fraction form
    233,046.20/349,832.10 = 154,314.20/x
  3. Step 3: Cross multiply
    233,046.20x = 349,832.10 × 154,314.20
  4. Step 4: Simplify right side
    233,046.20x = 53,984,060,645.82
  5. Step 5: Solve for x
    x = 53,984,060,645.82/233,046.20
  6. Step 6: Final answer
    x = 231,645.32

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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.