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Finding the Fourth Proportional to 140,438.52, 193,808.16 and 76,782.24

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Solution

The fourth proportional to 140,438.52, 193,808.16 and 76,782.24 is: 105,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,438.52 : 193,808.16 = 76,782.24 : x
  2. Step 2: Convert to fraction form
    140,438.52/193,808.16 = 76,782.24/x
  3. Step 3: Cross multiply
    140,438.52x = 193,808.16 × 76,782.24
  4. Step 4: Simplify right side
    140,438.52x = 14,881,024,655.08
  5. Step 5: Solve for x
    x = 14,881,024,655.08/140,438.52
  6. Step 6: Final answer
    x = 105,961.13

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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.