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Finding the Fourth Proportional to 180,627.30, 271,200.15 and 101,895.30

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Solution

The fourth proportional to 180,627.30, 271,200.15 and 101,895.30 is: 152,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,627.30 : 271,200.15 = 101,895.30 : x
  2. Step 2: Convert to fraction form
    180,627.30/271,200.15 = 101,895.30/x
  3. Step 3: Cross multiply
    180,627.30x = 271,200.15 × 101,895.30
  4. Step 4: Simplify right side
    180,627.30x = 27,634,020,644.30
  5. Step 5: Solve for x
    x = 27,634,020,644.30/180,627.30
  6. Step 6: Final answer
    x = 152,989.17

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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.