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Finding the Fourth Proportional to 199,543.77, 299,314.80 and 49,783.86

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Solution

The fourth proportional to 199,543.77, 299,314.80 and 49,783.86 is: 74,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,543.77 : 299,314.80 = 49,783.86 : x
  2. Step 2: Convert to fraction form
    199,543.77/299,314.80 = 49,783.86/x
  3. Step 3: Cross multiply
    199,543.77x = 299,314.80 × 49,783.86
  4. Step 4: Simplify right side
    199,543.77x = 14,901,046,099.13
  5. Step 5: Solve for x
    x = 14,901,046,099.13/199,543.77
  6. Step 6: Final answer
    x = 74,675.58

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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.