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Finding the Fourth Proportional to 161,565.65, 222,928.02 and 97,866.44

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Solution

The fourth proportional to 161,565.65, 222,928.02 and 97,866.44 is: 135,035.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,565.65 : 222,928.02 = 97,866.44 : x
  2. Step 2: Convert to fraction form
    161,565.65/222,928.02 = 97,866.44/x
  3. Step 3: Cross multiply
    161,565.65x = 222,928.02 × 97,866.44
  4. Step 4: Simplify right side
    161,565.65x = 21,817,171,693.65
  5. Step 5: Solve for x
    x = 21,817,171,693.65/161,565.65
  6. Step 6: Final answer
    x = 135,035.95

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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.