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Finding the Fourth Proportional to 142,317.66, 196,399.82 and 77,788.74

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Solution

The fourth proportional to 142,317.66, 196,399.82 and 77,788.74 is: 107,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,317.66 : 196,399.82 = 77,788.74 : x
  2. Step 2: Convert to fraction form
    142,317.66/196,399.82 = 77,788.74/x
  3. Step 3: Cross multiply
    142,317.66x = 196,399.82 × 77,788.74
  4. Step 4: Simplify right side
    142,317.66x = 15,277,694,534.03
  5. Step 5: Solve for x
    x = 15,277,694,534.03/142,317.66
  6. Step 6: Final answer
    x = 107,349.25

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