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Finding the Fourth Proportional to 105,708, 145,863.67 and 57,948.78

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Solution

The fourth proportional to 105,708, 145,863.67 and 57,948.78 is: 79,961.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708 : 145,863.67 = 57,948.78 : x
  2. Step 2: Convert to fraction form
    105,708/145,863.67 = 57,948.78/x
  3. Step 3: Cross multiply
    105,708x = 145,863.67 × 57,948.78
  4. Step 4: Simplify right side
    105,708x = 8,452,621,722.82
  5. Step 5: Solve for x
    x = 8,452,621,722.82/105,708
  6. Step 6: Final answer
    x = 79,961.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.