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Finding the Fourth Proportional to 105,027.10, 157,540.65 and 105,027.10

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Solution

The fourth proportional to 105,027.10, 157,540.65 and 105,027.10 is: 157,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.10 : 157,540.65 = 105,027.10 : x
  2. Step 2: Convert to fraction form
    105,027.10/157,540.65 = 105,027.10/x
  3. Step 3: Cross multiply
    105,027.10x = 157,540.65 × 105,027.10
  4. Step 4: Simplify right side
    105,027.10x = 16,546,037,601.62
  5. Step 5: Solve for x
    x = 16,546,037,601.62/105,027.10
  6. Step 6: Final answer
    x = 157,540.65

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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.