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Finding the Fourth Proportional to 100,909, 139,258.74 and 56,197

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Solution

The fourth proportional to 100,909, 139,258.74 and 56,197 is: 77,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,909 : 139,258.74 = 56,197 : x
  2. Step 2: Convert to fraction form
    100,909/139,258.74 = 56,197/x
  3. Step 3: Cross multiply
    100,909x = 139,258.74 × 56,197
  4. Step 4: Simplify right side
    100,909x = 7,825,923,411.78
  5. Step 5: Solve for x
    x = 7,825,923,411.78/100,909
  6. Step 6: Final answer
    x = 77,554.27

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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.