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Finding the Fourth Proportional to 222,854.56, 334,277.52 and 54,376

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Solution

The fourth proportional to 222,854.56, 334,277.52 and 54,376 is: 81,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,854.56 : 334,277.52 = 54,376 : x
  2. Step 2: Convert to fraction form
    222,854.56/334,277.52 = 54,376/x
  3. Step 3: Cross multiply
    222,854.56x = 334,277.52 × 54,376
  4. Step 4: Simplify right side
    222,854.56x = 18,176,674,427.52
  5. Step 5: Solve for x
    x = 18,176,674,427.52/222,854.56
  6. Step 6: Final answer
    x = 81,562.95

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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.