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Finding the Fourth Proportional to 208,507.50, 312,763.98 and 68,266.13

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Solution

The fourth proportional to 208,507.50, 312,763.98 and 68,266.13 is: 102,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.50 : 312,763.98 = 68,266.13 : x
  2. Step 2: Convert to fraction form
    208,507.50/312,763.98 = 68,266.13/x
  3. Step 3: Cross multiply
    208,507.50x = 312,763.98 × 68,266.13
  4. Step 4: Simplify right side
    208,507.50x = 21,351,185,210.18
  5. Step 5: Solve for x
    x = 21,351,185,210.18/208,507.50
  6. Step 6: Final answer
    x = 102,400.08

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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.