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Finding the Fourth Proportional to 223,134.75, 334,702.13 and 56,922.75

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Solution

The fourth proportional to 223,134.75, 334,702.13 and 56,922.75 is: 85,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,134.75 : 334,702.13 = 56,922.75 : x
  2. Step 2: Convert to fraction form
    223,134.75/334,702.13 = 56,922.75/x
  3. Step 3: Cross multiply
    223,134.75x = 334,702.13 × 56,922.75
  4. Step 4: Simplify right side
    223,134.75x = 19,052,165,385.84
  5. Step 5: Solve for x
    x = 19,052,165,385.84/223,134.75
  6. Step 6: Final answer
    x = 85,384.13

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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.