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Finding the Fourth Proportional to 240,433.18, 360,682.59 and 100,159

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Solution

The fourth proportional to 240,433.18, 360,682.59 and 100,159 is: 150,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,433.18 : 360,682.59 = 100,159 : x
  2. Step 2: Convert to fraction form
    240,433.18/360,682.59 = 100,159/x
  3. Step 3: Cross multiply
    240,433.18x = 360,682.59 × 100,159
  4. Step 4: Simplify right side
    240,433.18x = 36,125,607,531.81
  5. Step 5: Solve for x
    x = 36,125,607,531.81/240,433.18
  6. Step 6: Final answer
    x = 150,252.17

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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.