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Finding the Fourth Proportional to 139,002, 191,821.68 and 75,338.16

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Solution

The fourth proportional to 139,002, 191,821.68 and 75,338.16 is: 103,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,002 : 191,821.68 = 75,338.16 : x
  2. Step 2: Convert to fraction form
    139,002/191,821.68 = 75,338.16/x
  3. Step 3: Cross multiply
    139,002x = 191,821.68 × 75,338.16
  4. Step 4: Simplify right side
    139,002x = 14,451,492,419.31
  5. Step 5: Solve for x
    x = 14,451,492,419.31/139,002
  6. Step 6: Final answer
    x = 103,966.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.