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Finding the Fourth Proportional to 78,197.59, 117,308.54 and 25,594.98

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Solution

The fourth proportional to 78,197.59, 117,308.54 and 25,594.98 is: 38,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.59 : 117,308.54 = 25,594.98 : x
  2. Step 2: Convert to fraction form
    78,197.59/117,308.54 = 25,594.98/x
  3. Step 3: Cross multiply
    78,197.59x = 117,308.54 × 25,594.98
  4. Step 4: Simplify right side
    78,197.59x = 3,002,509,735.13
  5. Step 5: Solve for x
    x = 3,002,509,735.13/78,197.59
  6. Step 6: Final answer
    x = 38,396.45

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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.