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Finding the Fourth Proportional to 101,427, 139,966.68 and 56,106.84

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Solution

The fourth proportional to 101,427, 139,966.68 and 56,106.84 is: 77,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,427 : 139,966.68 = 56,106.84 : x
  2. Step 2: Convert to fraction form
    101,427/139,966.68 = 56,106.84/x
  3. Step 3: Cross multiply
    101,427x = 139,966.68 × 56,106.84
  4. Step 4: Simplify right side
    101,427x = 7,853,088,120.09
  5. Step 5: Solve for x
    x = 7,853,088,120.09/101,427
  6. Step 6: Final answer
    x = 77,426.01

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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.