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Finding the Fourth Proportional to 259,684.95, 389,292.32 and 101,871.03

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Solution

The fourth proportional to 259,684.95, 389,292.32 and 101,871.03 is: 152,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,684.95 : 389,292.32 = 101,871.03 : x
  2. Step 2: Convert to fraction form
    259,684.95/389,292.32 = 101,871.03/x
  3. Step 3: Cross multiply
    259,684.95x = 389,292.32 × 101,871.03
  4. Step 4: Simplify right side
    259,684.95x = 39,657,609,100.13
  5. Step 5: Solve for x
    x = 39,657,609,100.13/259,684.95
  6. Step 6: Final answer
    x = 152,714.31

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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.