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Finding the Fourth Proportional to 259,741.80, 389,612.70 and 147,767.40

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Solution

The fourth proportional to 259,741.80, 389,612.70 and 147,767.40 is: 221,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,741.80 : 389,612.70 = 147,767.40 : x
  2. Step 2: Convert to fraction form
    259,741.80/389,612.70 = 147,767.40/x
  3. Step 3: Cross multiply
    259,741.80x = 389,612.70 × 147,767.40
  4. Step 4: Simplify right side
    259,741.80x = 57,572,055,685.98
  5. Step 5: Solve for x
    x = 57,572,055,685.98/259,741.80
  6. Step 6: Final answer
    x = 221,651.10

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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.