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Finding the Fourth Proportional to 185,967.36, 256,633.92 and 105,410.12

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Solution

The fourth proportional to 185,967.36, 256,633.92 and 105,410.12 is: 145,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,967.36 : 256,633.92 = 105,410.12 : x
  2. Step 2: Convert to fraction form
    185,967.36/256,633.92 = 105,410.12/x
  3. Step 3: Cross multiply
    185,967.36x = 256,633.92 × 105,410.12
  4. Step 4: Simplify right side
    185,967.36x = 27,051,811,020.10
  5. Step 5: Solve for x
    x = 27,051,811,020.10/185,967.36
  6. Step 6: Final answer
    x = 145,465.37

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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.