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Finding the Fourth Proportional to 161,398, 242,135.88 and 50,590

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Solution

The fourth proportional to 161,398, 242,135.88 and 50,590 is: 75,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,398 : 242,135.88 = 50,590 : x
  2. Step 2: Convert to fraction form
    161,398/242,135.88 = 50,590/x
  3. Step 3: Cross multiply
    161,398x = 242,135.88 × 50,590
  4. Step 4: Simplify right side
    161,398x = 12,249,654,169.20
  5. Step 5: Solve for x
    x = 12,249,654,169.20/161,398
  6. Step 6: Final answer
    x = 75,897.19

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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.