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Finding the Fourth Proportional to 201,811.12, 302,764.14 and 61,569.76

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Solution

The fourth proportional to 201,811.12, 302,764.14 and 61,569.76 is: 92,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.12 : 302,764.14 = 61,569.76 : x
  2. Step 2: Convert to fraction form
    201,811.12/302,764.14 = 61,569.76/x
  3. Step 3: Cross multiply
    201,811.12x = 302,764.14 × 61,569.76
  4. Step 4: Simplify right side
    201,811.12x = 18,641,115,436.41
  5. Step 5: Solve for x
    x = 18,641,115,436.41/201,811.12
  6. Step 6: Final answer
    x = 92,369.12

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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.