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Finding the Fourth Proportional to 183,719.80, 275,579.70 and 78,549.40

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Solution

The fourth proportional to 183,719.80, 275,579.70 and 78,549.40 is: 117,824.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,719.80 : 275,579.70 = 78,549.40 : x
  2. Step 2: Convert to fraction form
    183,719.80/275,579.70 = 78,549.40/x
  3. Step 3: Cross multiply
    183,719.80x = 275,579.70 × 78,549.40
  4. Step 4: Simplify right side
    183,719.80x = 21,646,620,087.18
  5. Step 5: Solve for x
    x = 21,646,620,087.18/183,719.80
  6. Step 6: Final answer
    x = 117,824.10

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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.