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Finding the Fourth Proportional to 140,203.90, 193,484.32 and 76,544.38

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Solution

The fourth proportional to 140,203.90, 193,484.32 and 76,544.38 is: 105,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,203.90 : 193,484.32 = 76,544.38 : x
  2. Step 2: Convert to fraction form
    140,203.90/193,484.32 = 76,544.38/x
  3. Step 3: Cross multiply
    140,203.90x = 193,484.32 × 76,544.38
  4. Step 4: Simplify right side
    140,203.90x = 14,810,137,314.12
  5. Step 5: Solve for x
    x = 14,810,137,314.12/140,203.90
  6. Step 6: Final answer
    x = 105,632.85

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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.