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Finding the Fourth Proportional to 119,218.32, 164,524.32 and 65,504.70

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Solution

The fourth proportional to 119,218.32, 164,524.32 and 65,504.70 is: 90,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218.32 : 164,524.32 = 65,504.70 : x
  2. Step 2: Convert to fraction form
    119,218.32/164,524.32 = 65,504.70/x
  3. Step 3: Cross multiply
    119,218.32x = 164,524.32 × 65,504.70
  4. Step 4: Simplify right side
    119,218.32x = 10,777,116,224.30
  5. Step 5: Solve for x
    x = 10,777,116,224.30/119,218.32
  6. Step 6: Final answer
    x = 90,398.16

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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.