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Finding the Fourth Proportional to 202,898.58, 304,098.60 and 113,965.14

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Solution

The fourth proportional to 202,898.58, 304,098.60 and 113,965.14 is: 170,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,898.58 : 304,098.60 = 113,965.14 : x
  2. Step 2: Convert to fraction form
    202,898.58/304,098.60 = 113,965.14/x
  3. Step 3: Cross multiply
    202,898.58x = 304,098.60 × 113,965.14
  4. Step 4: Simplify right side
    202,898.58x = 34,656,639,522.80
  5. Step 5: Solve for x
    x = 34,656,639,522.80/202,898.58
  6. Step 6: Final answer
    x = 170,807.70

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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.