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Finding the Fourth Proportional to 180,752.80, 271,258.80 and 101,783.20

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Solution

The fourth proportional to 180,752.80, 271,258.80 and 101,783.20 is: 152,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,752.80 : 271,258.80 = 101,783.20 : x
  2. Step 2: Convert to fraction form
    180,752.80/271,258.80 = 101,783.20/x
  3. Step 3: Cross multiply
    180,752.80x = 271,258.80 × 101,783.20
  4. Step 4: Simplify right side
    180,752.80x = 27,609,588,692.16
  5. Step 5: Solve for x
    x = 27,609,588,692.16/180,752.80
  6. Step 6: Final answer
    x = 152,747.78

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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.