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Finding the Fourth Proportional to 189,911.06, 262,081.83 and 103,878.13

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Solution

The fourth proportional to 189,911.06, 262,081.83 and 103,878.13 is: 143,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,911.06 : 262,081.83 = 103,878.13 : x
  2. Step 2: Convert to fraction form
    189,911.06/262,081.83 = 103,878.13/x
  3. Step 3: Cross multiply
    189,911.06x = 262,081.83 × 103,878.13
  4. Step 4: Simplify right side
    189,911.06x = 27,224,570,407.38
  5. Step 5: Solve for x
    x = 27,224,570,407.38/189,911.06
  6. Step 6: Final answer
    x = 143,354.32

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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.