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Finding the Fourth Proportional to 100,157.78, 138,217.68 and 57,740.90

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Solution

The fourth proportional to 100,157.78, 138,217.68 and 57,740.90 is: 79,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.78 : 138,217.68 = 57,740.90 : x
  2. Step 2: Convert to fraction form
    100,157.78/138,217.68 = 57,740.90/x
  3. Step 3: Cross multiply
    100,157.78x = 138,217.68 × 57,740.90
  4. Step 4: Simplify right side
    100,157.78x = 7,980,813,239.11
  5. Step 5: Solve for x
    x = 7,980,813,239.11/100,157.78
  6. Step 6: Final answer
    x = 79,682.41

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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.