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Finding the Fourth Proportional to 240,438.68, 360,690.84 and 100,164.50

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Solution

The fourth proportional to 240,438.68, 360,690.84 and 100,164.50 is: 150,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,438.68 : 360,690.84 = 100,164.50 : x
  2. Step 2: Convert to fraction form
    240,438.68/360,690.84 = 100,164.50/x
  3. Step 3: Cross multiply
    240,438.68x = 360,690.84 × 100,164.50
  4. Step 4: Simplify right side
    240,438.68x = 36,128,417,643.18
  5. Step 5: Solve for x
    x = 36,128,417,643.18/240,438.68
  6. Step 6: Final answer
    x = 150,260.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.