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Finding the Fourth Proportional to 162,580.80, 243,676.80 and 83,654.40

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Solution

The fourth proportional to 162,580.80, 243,676.80 and 83,654.40 is: 125,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,580.80 : 243,676.80 = 83,654.40 : x
  2. Step 2: Convert to fraction form
    162,580.80/243,676.80 = 83,654.40/x
  3. Step 3: Cross multiply
    162,580.80x = 243,676.80 × 83,654.40
  4. Step 4: Simplify right side
    162,580.80x = 20,384,636,497.92
  5. Step 5: Solve for x
    x = 20,384,636,497.92/162,580.80
  6. Step 6: Final answer
    x = 125,381.57

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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.