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Finding the Fourth Proportional to 165,533, 228,435.54 and 90,082.04

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Solution

The fourth proportional to 165,533, 228,435.54 and 90,082.04 is: 124,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,533 : 228,435.54 = 90,082.04 : x
  2. Step 2: Convert to fraction form
    165,533/228,435.54 = 90,082.04/x
  3. Step 3: Cross multiply
    165,533x = 228,435.54 × 90,082.04
  4. Step 4: Simplify right side
    165,533x = 20,577,939,451.70
  5. Step 5: Solve for x
    x = 20,577,939,451.70/165,533
  6. Step 6: Final answer
    x = 124,313.22

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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.