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Finding the Fourth Proportional to 162,655.20, 243,982.80 and 57,484.80

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Solution

The fourth proportional to 162,655.20, 243,982.80 and 57,484.80 is: 86,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,655.20 : 243,982.80 = 57,484.80 : x
  2. Step 2: Convert to fraction form
    162,655.20/243,982.80 = 57,484.80/x
  3. Step 3: Cross multiply
    162,655.20x = 243,982.80 × 57,484.80
  4. Step 4: Simplify right side
    162,655.20x = 14,025,302,461.44
  5. Step 5: Solve for x
    x = 14,025,302,461.44/162,655.20
  6. Step 6: Final answer
    x = 86,227.20

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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.