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Finding the Fourth Proportional to 318,114.89, 477,159.86 and 107,752.82

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Solution

The fourth proportional to 318,114.89, 477,159.86 and 107,752.82 is: 161,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,114.89 : 477,159.86 = 107,752.82 : x
  2. Step 2: Convert to fraction form
    318,114.89/477,159.86 = 107,752.82/x
  3. Step 3: Cross multiply
    318,114.89x = 477,159.86 × 107,752.82
  4. Step 4: Simplify right side
    318,114.89x = 51,415,318,120.01
  5. Step 5: Solve for x
    x = 51,415,318,120.01/318,114.89
  6. Step 6: Final answer
    x = 161,625.00

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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.