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Finding the Fourth Proportional to 223,199.56, 307,837.25 and 146,797.12

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Solution

The fourth proportional to 223,199.56, 307,837.25 and 146,797.12 is: 202,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,199.56 : 307,837.25 = 146,797.12 : x
  2. Step 2: Convert to fraction form
    223,199.56/307,837.25 = 146,797.12/x
  3. Step 3: Cross multiply
    223,199.56x = 307,837.25 × 146,797.12
  4. Step 4: Simplify right side
    223,199.56x = 45,189,621,728.72
  5. Step 5: Solve for x
    x = 45,189,621,728.72/223,199.56
  6. Step 6: Final answer
    x = 202,462.86

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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.