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Finding the Fourth Proportional to 223,114.50, 334,671.75 and 56,902.50

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Solution

The fourth proportional to 223,114.50, 334,671.75 and 56,902.50 is: 85,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,114.50 : 334,671.75 = 56,902.50 : x
  2. Step 2: Convert to fraction form
    223,114.50/334,671.75 = 56,902.50/x
  3. Step 3: Cross multiply
    223,114.50x = 334,671.75 × 56,902.50
  4. Step 4: Simplify right side
    223,114.50x = 19,043,659,254.38
  5. Step 5: Solve for x
    x = 19,043,659,254.38/223,114.50
  6. Step 6: Final answer
    x = 85,353.75

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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.