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Finding the Fourth Proportional to 103,282.80, 142,477.56 and 67,493.76

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Solution

The fourth proportional to 103,282.80, 142,477.56 and 67,493.76 is: 93,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,282.80 : 142,477.56 = 67,493.76 : x
  2. Step 2: Convert to fraction form
    103,282.80/142,477.56 = 67,493.76/x
  3. Step 3: Cross multiply
    103,282.80x = 142,477.56 × 67,493.76
  4. Step 4: Simplify right side
    103,282.80x = 9,616,346,240.03
  5. Step 5: Solve for x
    x = 9,616,346,240.03/103,282.80
  6. Step 6: Final answer
    x = 93,106.95

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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.