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Finding the Fourth Proportional to 258,894.46, 357,251.61 and 144,164.44

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Solution

The fourth proportional to 258,894.46, 357,251.61 and 144,164.44 is: 198,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,894.46 : 357,251.61 = 144,164.44 : x
  2. Step 2: Convert to fraction form
    258,894.46/357,251.61 = 144,164.44/x
  3. Step 3: Cross multiply
    258,894.46x = 357,251.61 × 144,164.44
  4. Step 4: Simplify right side
    258,894.46x = 51,502,978,294.75
  5. Step 5: Solve for x
    x = 51,502,978,294.75/258,894.46
  6. Step 6: Final answer
    x = 198,934.26

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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.