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Finding the Fourth Proportional to 144,193, 216,289.50 and 45,697

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Solution

The fourth proportional to 144,193, 216,289.50 and 45,697 is: 68,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,193 : 216,289.50 = 45,697 : x
  2. Step 2: Convert to fraction form
    144,193/216,289.50 = 45,697/x
  3. Step 3: Cross multiply
    144,193x = 216,289.50 × 45,697
  4. Step 4: Simplify right side
    144,193x = 9,883,781,281.50
  5. Step 5: Solve for x
    x = 9,883,781,281.50/144,193
  6. Step 6: Final answer
    x = 68,545.50

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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.