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Finding the Fourth Proportional to 227,368.14, 341,083.32 and 77,568.21

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Solution

The fourth proportional to 227,368.14, 341,083.32 and 77,568.21 is: 116,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,368.14 : 341,083.32 = 77,568.21 : x
  2. Step 2: Convert to fraction form
    227,368.14/341,083.32 = 77,568.21/x
  3. Step 3: Cross multiply
    227,368.14x = 341,083.32 × 77,568.21
  4. Step 4: Simplify right side
    227,368.14x = 26,457,222,593.26
  5. Step 5: Solve for x
    x = 26,457,222,593.26/227,368.14
  6. Step 6: Final answer
    x = 116,362.93

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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.