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Finding the Fourth Proportional to 243,689.14, 365,538.73 and 75,209.58

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Solution

The fourth proportional to 243,689.14, 365,538.73 and 75,209.58 is: 112,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,689.14 : 365,538.73 = 75,209.58 : x
  2. Step 2: Convert to fraction form
    243,689.14/365,538.73 = 75,209.58/x
  3. Step 3: Cross multiply
    243,689.14x = 365,538.73 × 75,209.58
  4. Step 4: Simplify right side
    243,689.14x = 27,492,014,357.03
  5. Step 5: Solve for x
    x = 27,492,014,357.03/243,689.14
  6. Step 6: Final answer
    x = 112,815.92

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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.