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Finding the Fourth Proportional to 257,744.80, 386,714.40 and 124,742.80

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Solution

The fourth proportional to 257,744.80, 386,714.40 and 124,742.80 is: 187,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,744.80 : 386,714.40 = 124,742.80 : x
  2. Step 2: Convert to fraction form
    257,744.80/386,714.40 = 124,742.80/x
  3. Step 3: Cross multiply
    257,744.80x = 386,714.40 × 124,742.80
  4. Step 4: Simplify right side
    257,744.80x = 48,239,837,056.32
  5. Step 5: Solve for x
    x = 48,239,837,056.32/257,744.80
  6. Step 6: Final answer
    x = 187,161.24

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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.