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Finding the Fourth Proportional to 259,387.72, 389,256.60 and 101,596.48

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Solution

The fourth proportional to 259,387.72, 389,256.60 and 101,596.48 is: 152,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,387.72 : 389,256.60 = 101,596.48 : x
  2. Step 2: Convert to fraction form
    259,387.72/389,256.60 = 101,596.48/x
  3. Step 3: Cross multiply
    259,387.72x = 389,256.60 × 101,596.48
  4. Step 4: Simplify right side
    259,387.72x = 39,547,100,376.77
  5. Step 5: Solve for x
    x = 39,547,100,376.77/259,387.72
  6. Step 6: Final answer
    x = 152,463.27

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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.