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Finding the Fourth Proportional to 140,188.64, 193,460.24 and 76,526.42

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Solution

The fourth proportional to 140,188.64, 193,460.24 and 76,526.42 is: 105,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,188.64 : 193,460.24 = 76,526.42 : x
  2. Step 2: Convert to fraction form
    140,188.64/193,460.24 = 76,526.42/x
  3. Step 3: Cross multiply
    140,188.64x = 193,460.24 × 76,526.42
  4. Step 4: Simplify right side
    140,188.64x = 14,804,818,229.61
  5. Step 5: Solve for x
    x = 14,804,818,229.61/140,188.64
  6. Step 6: Final answer
    x = 105,606.41

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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.