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Finding the Fourth Proportional to 199,658.63, 299,486.73 and 49,898.15

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Solution

The fourth proportional to 199,658.63, 299,486.73 and 49,898.15 is: 74,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.63 : 299,486.73 = 49,898.15 : x
  2. Step 2: Convert to fraction form
    199,658.63/299,486.73 = 49,898.15/x
  3. Step 3: Cross multiply
    199,658.63x = 299,486.73 × 49,898.15
  4. Step 4: Simplify right side
    199,658.63x = 14,943,833,776.55
  5. Step 5: Solve for x
    x = 14,943,833,776.55/199,658.63
  6. Step 6: Final answer
    x = 74,846.92

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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.