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Finding the Fourth Proportional to 259,385.72, 389,253.60 and 101,594.48

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Solution

The fourth proportional to 259,385.72, 389,253.60 and 101,594.48 is: 152,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,385.72 : 389,253.60 = 101,594.48 : x
  2. Step 2: Convert to fraction form
    259,385.72/389,253.60 = 101,594.48/x
  3. Step 3: Cross multiply
    259,385.72x = 389,253.60 × 101,594.48
  4. Step 4: Simplify right side
    259,385.72x = 39,546,017,080.13
  5. Step 5: Solve for x
    x = 39,546,017,080.13/259,385.72
  6. Step 6: Final answer
    x = 152,460.27

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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.