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Finding the Fourth Proportional to 180,509.52, 270,876.28 and 87,024.72

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Solution

The fourth proportional to 180,509.52, 270,876.28 and 87,024.72 is: 130,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,509.52 : 270,876.28 = 87,024.72 : x
  2. Step 2: Convert to fraction form
    180,509.52/270,876.28 = 87,024.72/x
  3. Step 3: Cross multiply
    180,509.52x = 270,876.28 × 87,024.72
  4. Step 4: Simplify right side
    180,509.52x = 23,572,932,421.64
  5. Step 5: Solve for x
    x = 23,572,932,421.64/180,509.52
  6. Step 6: Final answer
    x = 130,591.08

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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.