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Finding the Fourth Proportional to 208,047.40, 312,071.10 and 202,215.40

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Solution

The fourth proportional to 208,047.40, 312,071.10 and 202,215.40 is: 303,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,047.40 : 312,071.10 = 202,215.40 : x
  2. Step 2: Convert to fraction form
    208,047.40/312,071.10 = 202,215.40/x
  3. Step 3: Cross multiply
    208,047.40x = 312,071.10 × 202,215.40
  4. Step 4: Simplify right side
    208,047.40x = 63,105,582,314.94
  5. Step 5: Solve for x
    x = 63,105,582,314.94/208,047.40
  6. Step 6: Final answer
    x = 303,323.10

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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.