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Finding the Fourth Proportional to 181,797.68, 272,798.08 and 105,984.32

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Solution

The fourth proportional to 181,797.68, 272,798.08 and 105,984.32 is: 159,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,797.68 : 272,798.08 = 105,984.32 : x
  2. Step 2: Convert to fraction form
    181,797.68/272,798.08 = 105,984.32/x
  3. Step 3: Cross multiply
    181,797.68x = 272,798.08 × 105,984.32
  4. Step 4: Simplify right side
    181,797.68x = 28,912,317,377.15
  5. Step 5: Solve for x
    x = 28,912,317,377.15/181,797.68
  6. Step 6: Final answer
    x = 159,035.68

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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.