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Finding the Fourth Proportional to 165,235.50, 228,024.99 and 98,167.50

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Solution

The fourth proportional to 165,235.50, 228,024.99 and 98,167.50 is: 135,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,235.50 : 228,024.99 = 98,167.50 : x
  2. Step 2: Convert to fraction form
    165,235.50/228,024.99 = 98,167.50/x
  3. Step 3: Cross multiply
    165,235.50x = 228,024.99 × 98,167.50
  4. Step 4: Simplify right side
    165,235.50x = 22,384,643,205.83
  5. Step 5: Solve for x
    x = 22,384,643,205.83/165,235.50
  6. Step 6: Final answer
    x = 135,471.15

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1.5x scale

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.