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Finding the Fourth Proportional to 201,463.08, 278,025.66 and 110,826

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Solution

The fourth proportional to 201,463.08, 278,025.66 and 110,826 is: 152,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463.08 : 278,025.66 = 110,826 : x
  2. Step 2: Convert to fraction form
    201,463.08/278,025.66 = 110,826/x
  3. Step 3: Cross multiply
    201,463.08x = 278,025.66 × 110,826
  4. Step 4: Simplify right side
    201,463.08x = 30,812,471,795.16
  5. Step 5: Solve for x
    x = 30,812,471,795.16/201,463.08
  6. Step 6: Final answer
    x = 152,943.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.