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Finding the Fourth Proportional to 295,027.20, 442,684.80 and 137,174.40

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Solution

The fourth proportional to 295,027.20, 442,684.80 and 137,174.40 is: 205,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,027.20 : 442,684.80 = 137,174.40 : x
  2. Step 2: Convert to fraction form
    295,027.20/442,684.80 = 137,174.40/x
  3. Step 3: Cross multiply
    295,027.20x = 442,684.80 × 137,174.40
  4. Step 4: Simplify right side
    295,027.20x = 60,725,021,829.12
  5. Step 5: Solve for x
    x = 60,725,021,829.12/295,027.20
  6. Step 6: Final answer
    x = 205,828.55

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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.