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Finding the Fourth Proportional to 139,903.14, 193,061.16 and 76,239.84

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Solution

The fourth proportional to 139,903.14, 193,061.16 and 76,239.84 is: 105,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,903.14 : 193,061.16 = 76,239.84 : x
  2. Step 2: Convert to fraction form
    139,903.14/193,061.16 = 76,239.84/x
  3. Step 3: Cross multiply
    139,903.14x = 193,061.16 × 76,239.84
  4. Step 4: Simplify right side
    139,903.14x = 14,718,951,948.61
  5. Step 5: Solve for x
    x = 14,718,951,948.61/139,903.14
  6. Step 6: Final answer
    x = 105,208.16

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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.