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Finding the Fourth Proportional to 550,877.64, 826,221.42 and 146,072.70

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Solution

The fourth proportional to 550,877.64, 826,221.42 and 146,072.70 is: 219,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,877.64 : 826,221.42 = 146,072.70 : x
  2. Step 2: Convert to fraction form
    550,877.64/826,221.42 = 146,072.70/x
  3. Step 3: Cross multiply
    550,877.64x = 826,221.42 × 146,072.70
  4. Step 4: Simplify right side
    550,877.64x = 120,688,393,617.23
  5. Step 5: Solve for x
    x = 120,688,393,617.23/550,877.64
  6. Step 6: Final answer
    x = 219,083.85

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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.