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Finding the Fourth Proportional to 185,887.78, 256,525.98 and 105,331.00

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Solution

The fourth proportional to 185,887.78, 256,525.98 and 105,331.00 is: 145,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,887.78 : 256,525.98 = 105,331.00 : x
  2. Step 2: Convert to fraction form
    185,887.78/256,525.98 = 105,331.00/x
  3. Step 3: Cross multiply
    185,887.78x = 256,525.98 × 105,331.00
  4. Step 4: Simplify right side
    185,887.78x = 27,020,137,358.07
  5. Step 5: Solve for x
    x = 27,020,137,358.07/185,887.78
  6. Step 6: Final answer
    x = 145,357.26

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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.