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Finding the Fourth Proportional to 140,063.82, 193,284.93 and 76,403.89

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Solution

The fourth proportional to 140,063.82, 193,284.93 and 76,403.89 is: 105,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,063.82 : 193,284.93 = 76,403.89 : x
  2. Step 2: Convert to fraction form
    140,063.82/193,284.93 = 76,403.89/x
  3. Step 3: Cross multiply
    140,063.82x = 193,284.93 × 76,403.89
  4. Step 4: Simplify right side
    140,063.82x = 14,767,720,530.38
  5. Step 5: Solve for x
    x = 14,767,720,530.38/140,063.82
  6. Step 6: Final answer
    x = 105,435.65

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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.