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Finding the Fourth Proportional to 240,433.68, 360,683.31 and 100,159.50

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Solution

The fourth proportional to 240,433.68, 360,683.31 and 100,159.50 is: 150,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,433.68 : 360,683.31 = 100,159.50 : x
  2. Step 2: Convert to fraction form
    240,433.68/360,683.31 = 100,159.50/x
  3. Step 3: Cross multiply
    240,433.68x = 360,683.31 × 100,159.50
  4. Step 4: Simplify right side
    240,433.68x = 36,125,859,987.95
  5. Step 5: Solve for x
    x = 36,125,859,987.95/240,433.68
  6. Step 6: Final answer
    x = 150,252.91

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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.