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Finding the Fourth Proportional to 180,587.88, 271,056.78 and 87,159.24

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Solution

The fourth proportional to 180,587.88, 271,056.78 and 87,159.24 is: 130,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,587.88 : 271,056.78 = 87,159.24 : x
  2. Step 2: Convert to fraction form
    180,587.88/271,056.78 = 87,159.24/x
  3. Step 3: Cross multiply
    180,587.88x = 271,056.78 × 87,159.24
  4. Step 4: Simplify right side
    180,587.88x = 23,625,102,941.65
  5. Step 5: Solve for x
    x = 23,625,102,941.65/180,587.88
  6. Step 6: Final answer
    x = 130,823.30

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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.