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Finding the Fourth Proportional to 185,763.54, 256,354.66 and 105,206.72

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Solution

The fourth proportional to 185,763.54, 256,354.66 and 105,206.72 is: 145,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,763.54 : 256,354.66 = 105,206.72 : x
  2. Step 2: Convert to fraction form
    185,763.54/256,354.66 = 105,206.72/x
  3. Step 3: Cross multiply
    185,763.54x = 256,354.66 × 105,206.72
  4. Step 4: Simplify right side
    185,763.54x = 26,970,232,935.32
  5. Step 5: Solve for x
    x = 26,970,232,935.32/185,763.54
  6. Step 6: Final answer
    x = 145,185.83

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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.