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Finding the Fourth Proportional to 114,468.09, 157,984.41 and 66,712.20

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Solution

The fourth proportional to 114,468.09, 157,984.41 and 66,712.20 is: 92,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,468.09 : 157,984.41 = 66,712.20 : x
  2. Step 2: Convert to fraction form
    114,468.09/157,984.41 = 66,712.20/x
  3. Step 3: Cross multiply
    114,468.09x = 157,984.41 × 66,712.20
  4. Step 4: Simplify right side
    114,468.09x = 10,539,487,556.80
  5. Step 5: Solve for x
    x = 10,539,487,556.80/114,468.09
  6. Step 6: Final answer
    x = 92,073.59

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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.