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Finding the Fourth Proportional to 140,081.34, 193,305.51 and 76,415.34

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Solution

The fourth proportional to 140,081.34, 193,305.51 and 76,415.34 is: 105,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,081.34 : 193,305.51 = 76,415.34 : x
  2. Step 2: Convert to fraction form
    140,081.34/193,305.51 = 76,415.34/x
  3. Step 3: Cross multiply
    140,081.34x = 193,305.51 × 76,415.34
  4. Step 4: Simplify right side
    140,081.34x = 14,771,506,270.52
  5. Step 5: Solve for x
    x = 14,771,506,270.52/140,081.34
  6. Step 6: Final answer
    x = 105,449.49

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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.