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Finding the Fourth Proportional to 200,104.96, 299,811.12 and 105,193.84

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Solution

The fourth proportional to 200,104.96, 299,811.12 and 105,193.84 is: 157,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,104.96 : 299,811.12 = 105,193.84 : x
  2. Step 2: Convert to fraction form
    200,104.96/299,811.12 = 105,193.84/x
  3. Step 3: Cross multiply
    200,104.96x = 299,811.12 × 105,193.84
  4. Step 4: Simplify right side
    200,104.96x = 31,538,282,987.50
  5. Step 5: Solve for x
    x = 31,538,282,987.50/200,104.96
  6. Step 6: Final answer
    x = 157,608.70

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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.