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Finding the Fourth Proportional to 199,094.52, 298,538.10 and 58,834.20

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Solution

The fourth proportional to 199,094.52, 298,538.10 and 58,834.20 is: 88,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,094.52 : 298,538.10 = 58,834.20 : x
  2. Step 2: Convert to fraction form
    199,094.52/298,538.10 = 58,834.20/x
  3. Step 3: Cross multiply
    199,094.52x = 298,538.10 × 58,834.20
  4. Step 4: Simplify right side
    199,094.52x = 17,564,250,283.02
  5. Step 5: Solve for x
    x = 17,564,250,283.02/199,094.52
  6. Step 6: Final answer
    x = 88,220.66

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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.