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Finding the Fourth Proportional to 219,530.16, 329,343.84 and 69,816.24

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Solution

The fourth proportional to 219,530.16, 329,343.84 and 69,816.24 is: 104,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,530.16 : 329,343.84 = 69,816.24 : x
  2. Step 2: Convert to fraction form
    219,530.16/329,343.84 = 69,816.24/x
  3. Step 3: Cross multiply
    219,530.16x = 329,343.84 × 69,816.24
  4. Step 4: Simplify right side
    219,530.16x = 22,993,548,575.96
  5. Step 5: Solve for x
    x = 22,993,548,575.96/219,530.16
  6. Step 6: Final answer
    x = 104,739.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.