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Finding the Fourth Proportional to 161,758.30, 242,856.15 and 102,709.30

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Solution

The fourth proportional to 161,758.30, 242,856.15 and 102,709.30 is: 154,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,758.30 : 242,856.15 = 102,709.30 : x
  2. Step 2: Convert to fraction form
    161,758.30/242,856.15 = 102,709.30/x
  3. Step 3: Cross multiply
    161,758.30x = 242,856.15 × 102,709.30
  4. Step 4: Simplify right side
    161,758.30x = 24,943,585,167.20
  5. Step 5: Solve for x
    x = 24,943,585,167.20/161,758.30
  6. Step 6: Final answer
    x = 154,202.81

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1.5x scale

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.