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Finding the Fourth Proportional to 185,643.61, 278,505.89 and 105,719.33

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Solution

The fourth proportional to 185,643.61, 278,505.89 and 105,719.33 is: 158,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,643.61 : 278,505.89 = 105,719.33 : x
  2. Step 2: Convert to fraction form
    185,643.61/278,505.89 = 105,719.33/x
  3. Step 3: Cross multiply
    185,643.61x = 278,505.89 × 105,719.33
  4. Step 4: Simplify right side
    185,643.61x = 29,443,456,091.85
  5. Step 5: Solve for x
    x = 29,443,456,091.85/185,643.61
  6. Step 6: Final answer
    x = 158,602.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.