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Finding the Fourth Proportional to 155,967, 234,054.18 and 57,471

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Solution

The fourth proportional to 155,967, 234,054.18 and 57,471 is: 86,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,967 : 234,054.18 = 57,471 : x
  2. Step 2: Convert to fraction form
    155,967/234,054.18 = 57,471/x
  3. Step 3: Cross multiply
    155,967x = 234,054.18 × 57,471
  4. Step 4: Simplify right side
    155,967x = 13,451,327,778.78
  5. Step 5: Solve for x
    x = 13,451,327,778.78/155,967
  6. Step 6: Final answer
    x = 86,244.70

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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.