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Finding the Fourth Proportional to 162,807.70, 244,211.55 and 99,822.10

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Solution

The fourth proportional to 162,807.70, 244,211.55 and 99,822.10 is: 149,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,807.70 : 244,211.55 = 99,822.10 : x
  2. Step 2: Convert to fraction form
    162,807.70/244,211.55 = 99,822.10/x
  3. Step 3: Cross multiply
    162,807.70x = 244,211.55 × 99,822.10
  4. Step 4: Simplify right side
    162,807.70x = 24,377,709,765.26
  5. Step 5: Solve for x
    x = 24,377,709,765.26/162,807.70
  6. Step 6: Final answer
    x = 149,733.15

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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.