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Finding the Fourth Proportional to 201,829.30, 302,306.55 and 166,837.30

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Solution

The fourth proportional to 201,829.30, 302,306.55 and 166,837.30 is: 249,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,829.30 : 302,306.55 = 166,837.30 : x
  2. Step 2: Convert to fraction form
    201,829.30/302,306.55 = 166,837.30/x
  3. Step 3: Cross multiply
    201,829.30x = 302,306.55 × 166,837.30
  4. Step 4: Simplify right side
    201,829.30x = 50,436,008,574.32
  5. Step 5: Solve for x
    x = 50,436,008,574.32/201,829.30
  6. Step 6: Final answer
    x = 249,894.38

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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.