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Finding the Fourth Proportional to 180,854.80, 271,411.80 and 101,885.20

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Solution

The fourth proportional to 180,854.80, 271,411.80 and 101,885.20 is: 152,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,854.80 : 271,411.80 = 101,885.20 : x
  2. Step 2: Convert to fraction form
    180,854.80/271,411.80 = 101,885.20/x
  3. Step 3: Cross multiply
    180,854.80x = 271,411.80 × 101,885.20
  4. Step 4: Simplify right side
    180,854.80x = 27,652,845,525.36
  5. Step 5: Solve for x
    x = 27,652,845,525.36/180,854.80
  6. Step 6: Final answer
    x = 152,900.81

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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.