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Finding the Fourth Proportional to 162,871.39, 243,970.82 and 120,798.98

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Solution

The fourth proportional to 162,871.39, 243,970.82 and 120,798.98 is: 180,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,871.39 : 243,970.82 = 120,798.98 : x
  2. Step 2: Convert to fraction form
    162,871.39/243,970.82 = 120,798.98/x
  3. Step 3: Cross multiply
    162,871.39x = 243,970.82 × 120,798.98
  4. Step 4: Simplify right side
    162,871.39x = 29,471,425,749.80
  5. Step 5: Solve for x
    x = 29,471,425,749.80/162,871.39
  6. Step 6: Final answer
    x = 180,949.06

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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.