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Finding the Fourth Proportional to 161,824.90, 223,313.72 and 90,203.38

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Solution

The fourth proportional to 161,824.90, 223,313.72 and 90,203.38 is: 124,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824.90 : 223,313.72 = 90,203.38 : x
  2. Step 2: Convert to fraction form
    161,824.90/223,313.72 = 90,203.38/x
  3. Step 3: Cross multiply
    161,824.90x = 223,313.72 × 90,203.38
  4. Step 4: Simplify right side
    161,824.90x = 20,143,652,344.37
  5. Step 5: Solve for x
    x = 20,143,652,344.37/161,824.90
  6. Step 6: Final answer
    x = 124,478.08

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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.