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Finding the Fourth Proportional to 106,313.10, 159,469.65 and 101,129.10

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Solution

The fourth proportional to 106,313.10, 159,469.65 and 101,129.10 is: 151,693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,313.10 : 159,469.65 = 101,129.10 : x
  2. Step 2: Convert to fraction form
    106,313.10/159,469.65 = 101,129.10/x
  3. Step 3: Cross multiply
    106,313.10x = 159,469.65 × 101,129.10
  4. Step 4: Simplify right side
    106,313.10x = 16,127,022,181.82
  5. Step 5: Solve for x
    x = 16,127,022,181.82/106,313.10
  6. Step 6: Final answer
    x = 151,693.65

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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.