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Finding the Fourth Proportional to 180,801.70, 271,202.55 and 117,816.10

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Solution

The fourth proportional to 180,801.70, 271,202.55 and 117,816.10 is: 176,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,801.70 : 271,202.55 = 117,816.10 : x
  2. Step 2: Convert to fraction form
    180,801.70/271,202.55 = 117,816.10/x
  3. Step 3: Cross multiply
    180,801.70x = 271,202.55 × 117,816.10
  4. Step 4: Simplify right side
    180,801.70x = 31,952,026,751.06
  5. Step 5: Solve for x
    x = 31,952,026,751.06/180,801.70
  6. Step 6: Final answer
    x = 176,724.15

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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.