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Finding the Fourth Proportional to 104,117.78, 156,013.14 and 80,483.24

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Solution

The fourth proportional to 104,117.78, 156,013.14 and 80,483.24 is: 120,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,117.78 : 156,013.14 = 80,483.24 : x
  2. Step 2: Convert to fraction form
    104,117.78/156,013.14 = 80,483.24/x
  3. Step 3: Cross multiply
    104,117.78x = 156,013.14 × 80,483.24
  4. Step 4: Simplify right side
    104,117.78x = 12,556,442,989.77
  5. Step 5: Solve for x
    x = 12,556,442,989.77/104,117.78
  6. Step 6: Final answer
    x = 120,598.45

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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.