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Finding the Fourth Proportional to 162,855.70, 244,275.45 and 83,977.90

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Solution

The fourth proportional to 162,855.70, 244,275.45 and 83,977.90 is: 125,962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,855.70 : 244,275.45 = 83,977.90 : x
  2. Step 2: Convert to fraction form
    162,855.70/244,275.45 = 83,977.90/x
  3. Step 3: Cross multiply
    162,855.70x = 244,275.45 × 83,977.90
  4. Step 4: Simplify right side
    162,855.70x = 20,513,739,312.56
  5. Step 5: Solve for x
    x = 20,513,739,312.56/162,855.70
  6. Step 6: Final answer
    x = 125,962.67

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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.