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Finding the Fourth Proportional to 161,802.14, 223,287.20 and 90,180.62

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Solution

The fourth proportional to 161,802.14, 223,287.20 and 90,180.62 is: 124,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,802.14 : 223,287.20 = 90,180.62 : x
  2. Step 2: Convert to fraction form
    161,802.14/223,287.20 = 90,180.62/x
  3. Step 3: Cross multiply
    161,802.14x = 223,287.20 × 90,180.62
  4. Step 4: Simplify right side
    161,802.14x = 20,136,178,241.38
  5. Step 5: Solve for x
    x = 20,136,178,241.38/161,802.14
  6. Step 6: Final answer
    x = 124,449.39

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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.