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Finding the Fourth Proportional to 107,666.16, 161,509.99 and 41,162.23

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Solution

The fourth proportional to 107,666.16, 161,509.99 and 41,162.23 is: 61,747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,666.16 : 161,509.99 = 41,162.23 : x
  2. Step 2: Convert to fraction form
    107,666.16/161,509.99 = 41,162.23/x
  3. Step 3: Cross multiply
    107,666.16x = 161,509.99 × 41,162.23
  4. Step 4: Simplify right side
    107,666.16x = 6,648,111,355.68
  5. Step 5: Solve for x
    x = 6,648,111,355.68/107,666.16
  6. Step 6: Final answer
    x = 61,747.45

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