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Finding the Fourth Proportional to 233,998.68, 322,917.84 and 132,024

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Solution

The fourth proportional to 233,998.68, 322,917.84 and 132,024 is: 182,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,998.68 : 322,917.84 = 132,024 : x
  2. Step 2: Convert to fraction form
    233,998.68/322,917.84 = 132,024/x
  3. Step 3: Cross multiply
    233,998.68x = 322,917.84 × 132,024
  4. Step 4: Simplify right side
    233,998.68x = 42,632,904,908.16
  5. Step 5: Solve for x
    x = 42,632,904,908.16/233,998.68
  6. Step 6: Final answer
    x = 182,192.93

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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.