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Finding the Fourth Proportional to 140,119.38, 193,369.41 and 76,460.67

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Solution

The fourth proportional to 140,119.38, 193,369.41 and 76,460.67 is: 105,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,119.38 : 193,369.41 = 76,460.67 : x
  2. Step 2: Convert to fraction form
    140,119.38/193,369.41 = 76,460.67/x
  3. Step 3: Cross multiply
    140,119.38x = 193,369.41 × 76,460.67
  4. Step 4: Simplify right side
    140,119.38x = 14,785,154,646.10
  5. Step 5: Solve for x
    x = 14,785,154,646.10/140,119.38
  6. Step 6: Final answer
    x = 105,518.27

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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.