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Finding the Fourth Proportional to 138,696.16, 208,065.84 and 45,180.16

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Solution

The fourth proportional to 138,696.16, 208,065.84 and 45,180.16 is: 67,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,696.16 : 208,065.84 = 45,180.16 : x
  2. Step 2: Convert to fraction form
    138,696.16/208,065.84 = 45,180.16/x
  3. Step 3: Cross multiply
    138,696.16x = 208,065.84 × 45,180.16
  4. Step 4: Simplify right side
    138,696.16x = 9,400,447,941.73
  5. Step 5: Solve for x
    x = 9,400,447,941.73/138,696.16
  6. Step 6: Final answer
    x = 67,777.28

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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.