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Finding the Fourth Proportional to 180,810.76, 271,116.78 and 143,609.08

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Solution

The fourth proportional to 180,810.76, 271,116.78 and 143,609.08 is: 215,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810.76 : 271,116.78 = 143,609.08 : x
  2. Step 2: Convert to fraction form
    180,810.76/271,116.78 = 143,609.08/x
  3. Step 3: Cross multiply
    180,810.76x = 271,116.78 × 143,609.08
  4. Step 4: Simplify right side
    180,810.76x = 38,934,831,348.36
  5. Step 5: Solve for x
    x = 38,934,831,348.36/180,810.76
  6. Step 6: Final answer
    x = 215,334.70

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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.