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Finding the Fourth Proportional to 142,418.58, 196,531.74 and 77,886.78

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Solution

The fourth proportional to 142,418.58, 196,531.74 and 77,886.78 is: 107,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,418.58 : 196,531.74 = 77,886.78 : x
  2. Step 2: Convert to fraction form
    142,418.58/196,531.74 = 77,886.78/x
  3. Step 3: Cross multiply
    142,418.58x = 196,531.74 × 77,886.78
  4. Step 4: Simplify right side
    142,418.58x = 15,307,224,396.40
  5. Step 5: Solve for x
    x = 15,307,224,396.40/142,418.58
  6. Step 6: Final answer
    x = 107,480.53

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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.