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Finding the Fourth Proportional to 185,213.34, 277,820.01 and 44,971.02

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Solution

The fourth proportional to 185,213.34, 277,820.01 and 44,971.02 is: 67,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,213.34 : 277,820.01 = 44,971.02 : x
  2. Step 2: Convert to fraction form
    185,213.34/277,820.01 = 44,971.02/x
  3. Step 3: Cross multiply
    185,213.34x = 277,820.01 × 44,971.02
  4. Step 4: Simplify right side
    185,213.34x = 12,493,849,226.11
  5. Step 5: Solve for x
    x = 12,493,849,226.11/185,213.34
  6. Step 6: Final answer
    x = 67,456.53

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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.