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Finding the Fourth Proportional to 165,867, 228,896.52 and 94,247.10

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Solution

The fourth proportional to 165,867, 228,896.52 and 94,247.10 is: 130,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,867 : 228,896.52 = 94,247.10 : x
  2. Step 2: Convert to fraction form
    165,867/228,896.52 = 94,247.10/x
  3. Step 3: Cross multiply
    165,867x = 228,896.52 × 94,247.10
  4. Step 4: Simplify right side
    165,867x = 21,572,833,210.09
  5. Step 5: Solve for x
    x = 21,572,833,210.09/165,867
  6. Step 6: Final answer
    x = 130,061.03

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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.