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Finding the Fourth Proportional to 199,452.51, 299,290.50 and 105,955.83

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Solution

The fourth proportional to 199,452.51, 299,290.50 and 105,955.83 is: 158,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,452.51 : 299,290.50 = 105,955.83 : x
  2. Step 2: Convert to fraction form
    199,452.51/299,290.50 = 105,955.83/x
  3. Step 3: Cross multiply
    199,452.51x = 299,290.50 × 105,955.83
  4. Step 4: Simplify right side
    199,452.51x = 31,711,573,338.62
  5. Step 5: Solve for x
    x = 31,711,573,338.62/199,452.51
  6. Step 6: Final answer
    x = 158,993.10

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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.