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Finding the Fourth Proportional to 140,069.41, 193,294.54 and 76,405.84

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Solution

The fourth proportional to 140,069.41, 193,294.54 and 76,405.84 is: 105,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,069.41 : 193,294.54 = 76,405.84 : x
  2. Step 2: Convert to fraction form
    140,069.41/193,294.54 = 76,405.84/x
  3. Step 3: Cross multiply
    140,069.41x = 193,294.54 × 76,405.84
  4. Step 4: Simplify right side
    140,069.41x = 14,768,831,696.11
  5. Step 5: Solve for x
    x = 14,768,831,696.11/140,069.41
  6. Step 6: Final answer
    x = 105,439.38

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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.