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Finding the Fourth Proportional to 199,658.13, 299,485.98 and 49,897.64

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Solution

The fourth proportional to 199,658.13, 299,485.98 and 49,897.64 is: 74,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,658.13 : 299,485.98 = 49,897.64 : x
  2. Step 2: Convert to fraction form
    199,658.13/299,485.98 = 49,897.64/x
  3. Step 3: Cross multiply
    199,658.13x = 299,485.98 × 49,897.64
  4. Step 4: Simplify right side
    199,658.13x = 14,943,642,117.66
  5. Step 5: Solve for x
    x = 14,943,642,117.66/199,658.13
  6. Step 6: Final answer
    x = 74,846.15

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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.