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Finding the Fourth Proportional to 223,219.06, 307,864.06 and 146,816.55

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Solution

The fourth proportional to 223,219.06, 307,864.06 and 146,816.55 is: 202,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,219.06 : 307,864.06 = 146,816.55 : x
  2. Step 2: Convert to fraction form
    223,219.06/307,864.06 = 146,816.55/x
  3. Step 3: Cross multiply
    223,219.06x = 307,864.06 × 146,816.55
  4. Step 4: Simplify right side
    223,219.06x = 45,199,538,791.15
  5. Step 5: Solve for x
    x = 45,199,538,791.15/223,219.06
  6. Step 6: Final answer
    x = 202,489.61

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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.