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Finding the Fourth Proportional to 142,438.39, 196,557.03 and 77,894.89

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Solution

The fourth proportional to 142,438.39, 196,557.03 and 77,894.89 is: 107,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,438.39 : 196,557.03 = 77,894.89 : x
  2. Step 2: Convert to fraction form
    142,438.39/196,557.03 = 77,894.89/x
  3. Step 3: Cross multiply
    142,438.39x = 196,557.03 × 77,894.89
  4. Step 4: Simplify right side
    142,438.39x = 15,310,788,230.58
  5. Step 5: Solve for x
    x = 15,310,788,230.58/142,438.39
  6. Step 6: Final answer
    x = 107,490.60

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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.