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Finding the Fourth Proportional to 162,827.80, 244,204.80 and 57,646.78

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Solution

The fourth proportional to 162,827.80, 244,204.80 and 57,646.78 is: 86,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,827.80 : 244,204.80 = 57,646.78 : x
  2. Step 2: Convert to fraction form
    162,827.80/244,204.80 = 57,646.78/x
  3. Step 3: Cross multiply
    162,827.80x = 244,204.80 × 57,646.78
  4. Step 4: Simplify right side
    162,827.80x = 14,077,620,380.54
  5. Step 5: Solve for x
    x = 14,077,620,380.54/162,827.80
  6. Step 6: Final answer
    x = 86,457.11

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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.