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Finding the Fourth Proportional to 182,885.80, 274,328.70 and 77,909.80

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Solution

The fourth proportional to 182,885.80, 274,328.70 and 77,909.80 is: 116,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,885.80 : 274,328.70 = 77,909.80 : x
  2. Step 2: Convert to fraction form
    182,885.80/274,328.70 = 77,909.80/x
  3. Step 3: Cross multiply
    182,885.80x = 274,328.70 × 77,909.80
  4. Step 4: Simplify right side
    182,885.80x = 21,372,894,151.26
  5. Step 5: Solve for x
    x = 21,372,894,151.26/182,885.80
  6. Step 6: Final answer
    x = 116,864.70

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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.