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Finding the Fourth Proportional to 193,683, 290,535.48 and 69,024

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Solution

The fourth proportional to 193,683, 290,535.48 and 69,024 is: 103,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,683 : 290,535.48 = 69,024 : x
  2. Step 2: Convert to fraction form
    193,683/290,535.48 = 69,024/x
  3. Step 3: Cross multiply
    193,683x = 290,535.48 × 69,024
  4. Step 4: Simplify right side
    193,683x = 20,053,920,971.52
  5. Step 5: Solve for x
    x = 20,053,920,971.52/193,683
  6. Step 6: Final answer
    x = 103,539.91

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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.