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Finding the Fourth Proportional to 258,832.88, 357,191.92 and 144,113.12

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Solution

The fourth proportional to 258,832.88, 357,191.92 and 144,113.12 is: 198,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,832.88 : 357,191.92 = 144,113.12 : x
  2. Step 2: Convert to fraction form
    258,832.88/357,191.92 = 144,113.12/x
  3. Step 3: Cross multiply
    258,832.88x = 357,191.92 × 144,113.12
  4. Step 4: Simplify right side
    258,832.88x = 51,476,042,029.99
  5. Step 5: Solve for x
    x = 51,476,042,029.99/258,832.88
  6. Step 6: Final answer
    x = 198,877.52

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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.