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Finding the Fourth Proportional to 156,101.50, 234,132.50 and 49,486.49

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Solution

The fourth proportional to 156,101.50, 234,132.50 and 49,486.49 is: 74,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,101.50 : 234,132.50 = 49,486.49 : x
  2. Step 2: Convert to fraction form
    156,101.50/234,132.50 = 49,486.49/x
  3. Step 3: Cross multiply
    156,101.50x = 234,132.50 × 49,486.49
  4. Step 4: Simplify right side
    156,101.50x = 11,586,395,619.93
  5. Step 5: Solve for x
    x = 11,586,395,619.93/156,101.50
  6. Step 6: Final answer
    x = 74,223.47

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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.