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Finding the Fourth Proportional to 81,925.30, 114,928.70 and 81,925.30

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Solution

The fourth proportional to 81,925.30, 114,928.70 and 81,925.30 is: 114,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,925.30 : 114,928.70 = 81,925.30 : x
  2. Step 2: Convert to fraction form
    81,925.30/114,928.70 = 81,925.30/x
  3. Step 3: Cross multiply
    81,925.30x = 114,928.70 × 81,925.30
  4. Step 4: Simplify right side
    81,925.30x = 9,415,568,226.11
  5. Step 5: Solve for x
    x = 9,415,568,226.11/81,925.30
  6. Step 6: Final answer
    x = 114,928.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.