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Finding the Fourth Proportional to 161,395.50, 242,132.13 and 50,587.50

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Solution

The fourth proportional to 161,395.50, 242,132.13 and 50,587.50 is: 75,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,395.50 : 242,132.13 = 50,587.50 : x
  2. Step 2: Convert to fraction form
    161,395.50/242,132.13 = 50,587.50/x
  3. Step 3: Cross multiply
    161,395.50x = 242,132.13 × 50,587.50
  4. Step 4: Simplify right side
    161,395.50x = 12,248,859,126.38
  5. Step 5: Solve for x
    x = 12,248,859,126.38/161,395.50
  6. Step 6: Final answer
    x = 75,893.44

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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.