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Finding the Fourth Proportional to 180,006.60, 269,621.10 and 156,678.60

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Solution

The fourth proportional to 180,006.60, 269,621.10 and 156,678.60 is: 234,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,006.60 : 269,621.10 = 156,678.60 : x
  2. Step 2: Convert to fraction form
    180,006.60/269,621.10 = 156,678.60/x
  3. Step 3: Cross multiply
    180,006.60x = 269,621.10 × 156,678.60
  4. Step 4: Simplify right side
    180,006.60x = 42,243,856,478.46
  5. Step 5: Solve for x
    x = 42,243,856,478.46/180,006.60
  6. Step 6: Final answer
    x = 234,679.49

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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.