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Finding the Fourth Proportional to 138,726.80, 208,090.20 and 96,736.40

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Solution

The fourth proportional to 138,726.80, 208,090.20 and 96,736.40 is: 145,104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,726.80 : 208,090.20 = 96,736.40 : x
  2. Step 2: Convert to fraction form
    138,726.80/208,090.20 = 96,736.40/x
  3. Step 3: Cross multiply
    138,726.80x = 208,090.20 × 96,736.40
  4. Step 4: Simplify right side
    138,726.80x = 20,129,896,823.28
  5. Step 5: Solve for x
    x = 20,129,896,823.28/138,726.80
  6. Step 6: Final answer
    x = 145,104.60

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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.