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Finding the Fourth Proportional to 101,746.62, 140,405.40 and 56,426.40

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Solution

The fourth proportional to 101,746.62, 140,405.40 and 56,426.40 is: 77,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746.62 : 140,405.40 = 56,426.40 : x
  2. Step 2: Convert to fraction form
    101,746.62/140,405.40 = 56,426.40/x
  3. Step 3: Cross multiply
    101,746.62x = 140,405.40 × 56,426.40
  4. Step 4: Simplify right side
    101,746.62x = 7,922,571,262.56
  5. Step 5: Solve for x
    x = 7,922,571,262.56/101,746.62
  6. Step 6: Final answer
    x = 77,865.69

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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.