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Finding the Fourth Proportional to 199,506.96, 299,318.40 and 74,857.68

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Solution

The fourth proportional to 199,506.96, 299,318.40 and 74,857.68 is: 112,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,506.96 : 299,318.40 = 74,857.68 : x
  2. Step 2: Convert to fraction form
    199,506.96/299,318.40 = 74,857.68/x
  3. Step 3: Cross multiply
    199,506.96x = 299,318.40 × 74,857.68
  4. Step 4: Simplify right side
    199,506.96x = 22,406,281,005.31
  5. Step 5: Solve for x
    x = 22,406,281,005.31/199,506.96
  6. Step 6: Final answer
    x = 112,308.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.