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Finding the Fourth Proportional to 208,828.66, 313,172.79 and 75,681.04

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Solution

The fourth proportional to 208,828.66, 313,172.79 and 75,681.04 is: 113,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,828.66 : 313,172.79 = 75,681.04 : x
  2. Step 2: Convert to fraction form
    208,828.66/313,172.79 = 75,681.04/x
  3. Step 3: Cross multiply
    208,828.66x = 313,172.79 × 75,681.04
  4. Step 4: Simplify right side
    208,828.66x = 23,701,242,446.90
  5. Step 5: Solve for x
    x = 23,701,242,446.90/208,828.66
  6. Step 6: Final answer
    x = 113,496.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.