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Finding the Fourth Proportional to 165,456.24, 228,323.52 and 90,003.12

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Solution

The fourth proportional to 165,456.24, 228,323.52 and 90,003.12 is: 124,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,456.24 : 228,323.52 = 90,003.12 : x
  2. Step 2: Convert to fraction form
    165,456.24/228,323.52 = 90,003.12/x
  3. Step 3: Cross multiply
    165,456.24x = 228,323.52 × 90,003.12
  4. Step 4: Simplify right side
    165,456.24x = 20,549,829,169.38
  5. Step 5: Solve for x
    x = 20,549,829,169.38/165,456.24
  6. Step 6: Final answer
    x = 124,200.99

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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.