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Finding the Fourth Proportional to 318,114.64, 477,159.49 and 107,752.57

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Solution

The fourth proportional to 318,114.64, 477,159.49 and 107,752.57 is: 161,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,114.64 : 477,159.49 = 107,752.57 : x
  2. Step 2: Convert to fraction form
    318,114.64/477,159.49 = 107,752.57/x
  3. Step 3: Cross multiply
    318,114.64x = 477,159.49 × 107,752.57
  4. Step 4: Simplify right side
    318,114.64x = 51,415,158,422.83
  5. Step 5: Solve for x
    x = 51,415,158,422.83/318,114.64
  6. Step 6: Final answer
    x = 161,624.62

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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.