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Finding the Fourth Proportional to 185,068.54, 255,384.90 and 108,577

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Solution

The fourth proportional to 185,068.54, 255,384.90 and 108,577 is: 149,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,068.54 : 255,384.90 = 108,577 : x
  2. Step 2: Convert to fraction form
    185,068.54/255,384.90 = 108,577/x
  3. Step 3: Cross multiply
    185,068.54x = 255,384.90 × 108,577
  4. Step 4: Simplify right side
    185,068.54x = 27,728,926,287.30
  5. Step 5: Solve for x
    x = 27,728,926,287.30/185,068.54
  6. Step 6: Final answer
    x = 149,830.58

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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.