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Finding the Fourth Proportional to 249,714.92, 374,494.46 and 83,464.04

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Solution

The fourth proportional to 249,714.92, 374,494.46 and 83,464.04 is: 125,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,714.92 : 374,494.46 = 83,464.04 : x
  2. Step 2: Convert to fraction form
    249,714.92/374,494.46 = 83,464.04/x
  3. Step 3: Cross multiply
    249,714.92x = 374,494.46 × 83,464.04
  4. Step 4: Simplify right side
    249,714.92x = 31,256,820,589.22
  5. Step 5: Solve for x
    x = 31,256,820,589.22/249,714.92
  6. Step 6: Final answer
    x = 125,170.02

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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.