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Finding the Fourth Proportional to 294,102.70, 441,336.45 and 153,961.90

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Solution

The fourth proportional to 294,102.70, 441,336.45 and 153,961.90 is: 231,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,102.70 : 441,336.45 = 153,961.90 : x
  2. Step 2: Convert to fraction form
    294,102.70/441,336.45 = 153,961.90/x
  3. Step 3: Cross multiply
    294,102.70x = 441,336.45 × 153,961.90
  4. Step 4: Simplify right side
    294,102.70x = 67,948,998,381.26
  5. Step 5: Solve for x
    x = 67,948,998,381.26/294,102.70
  6. Step 6: Final answer
    x = 231,038.34

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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.