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Finding the Fourth Proportional to 100,504.64, 150,688.80 and 41,323.20

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Solution

The fourth proportional to 100,504.64, 150,688.80 and 41,323.20 is: 61,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504.64 : 150,688.80 = 41,323.20 : x
  2. Step 2: Convert to fraction form
    100,504.64/150,688.80 = 41,323.20/x
  3. Step 3: Cross multiply
    100,504.64x = 150,688.80 × 41,323.20
  4. Step 4: Simplify right side
    100,504.64x = 6,226,943,420.16
  5. Step 5: Solve for x
    x = 6,226,943,420.16/100,504.64
  6. Step 6: Final answer
    x = 61,956.78

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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.