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Finding the Fourth Proportional to 208,071.40, 312,107.10 and 202,239.40

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Solution

The fourth proportional to 208,071.40, 312,107.10 and 202,239.40 is: 303,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,071.40 : 312,107.10 = 202,239.40 : x
  2. Step 2: Convert to fraction form
    208,071.40/312,107.10 = 202,239.40/x
  3. Step 3: Cross multiply
    208,071.40x = 312,107.10 × 202,239.40
  4. Step 4: Simplify right side
    208,071.40x = 63,120,352,639.74
  5. Step 5: Solve for x
    x = 63,120,352,639.74/208,071.40
  6. Step 6: Final answer
    x = 303,359.10

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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.