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Finding the Fourth Proportional to 142,224.69, 196,268.02 and 77,693.14

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Solution

The fourth proportional to 142,224.69, 196,268.02 and 77,693.14 is: 107,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,224.69 : 196,268.02 = 77,693.14 : x
  2. Step 2: Convert to fraction form
    142,224.69/196,268.02 = 77,693.14/x
  3. Step 3: Cross multiply
    142,224.69x = 196,268.02 × 77,693.14
  4. Step 4: Simplify right side
    142,224.69x = 15,248,678,755.38
  5. Step 5: Solve for x
    x = 15,248,678,755.38/142,224.69
  6. Step 6: Final answer
    x = 107,215.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.