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Finding the Fourth Proportional to 202,356.53, 303,547.93 and 67,414.83

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Solution

The fourth proportional to 202,356.53, 303,547.93 and 67,414.83 is: 101,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,356.53 : 303,547.93 = 67,414.83 : x
  2. Step 2: Convert to fraction form
    202,356.53/303,547.93 = 67,414.83/x
  3. Step 3: Cross multiply
    202,356.53x = 303,547.93 × 67,414.83
  4. Step 4: Simplify right side
    202,356.53x = 20,463,632,688.02
  5. Step 5: Solve for x
    x = 20,463,632,688.02/202,356.53
  6. Step 6: Final answer
    x = 101,126.62

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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.