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Finding the Fourth Proportional to 100,758, 139,046.85 and 56,046

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Solution

The fourth proportional to 100,758, 139,046.85 and 56,046 is: 77,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,758 : 139,046.85 = 56,046 : x
  2. Step 2: Convert to fraction form
    100,758/139,046.85 = 56,046/x
  3. Step 3: Cross multiply
    100,758x = 139,046.85 × 56,046
  4. Step 4: Simplify right side
    100,758x = 7,793,019,755.10
  5. Step 5: Solve for x
    x = 7,793,019,755.10/100,758
  6. Step 6: Final answer
    x = 77,343.93

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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.