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Finding the Fourth Proportional to 139,904.19, 193,068.87 and 76,241.82

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Solution

The fourth proportional to 139,904.19, 193,068.87 and 76,241.82 is: 105,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,904.19 : 193,068.87 = 76,241.82 : x
  2. Step 2: Convert to fraction form
    139,904.19/193,068.87 = 76,241.82/x
  3. Step 3: Cross multiply
    139,904.19x = 193,068.87 × 76,241.82
  4. Step 4: Simplify right side
    139,904.19x = 14,719,922,034.14
  5. Step 5: Solve for x
    x = 14,719,922,034.14/139,904.19
  6. Step 6: Final answer
    x = 105,214.30

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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.