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Finding the Fourth Proportional to 161,802.99, 223,293.38 and 90,198.18

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Solution

The fourth proportional to 161,802.99, 223,293.38 and 90,198.18 is: 124,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,802.99 : 223,293.38 = 90,198.18 : x
  2. Step 2: Convert to fraction form
    161,802.99/223,293.38 = 90,198.18/x
  3. Step 3: Cross multiply
    161,802.99x = 223,293.38 × 90,198.18
  4. Step 4: Simplify right side
    161,802.99x = 20,140,656,031.06
  5. Step 5: Solve for x
    x = 20,140,656,031.06/161,802.99
  6. Step 6: Final answer
    x = 124,476.41

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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.