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Finding the Fourth Proportional to 233,301.68, 322,008.99 and 142,733.15

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Solution

The fourth proportional to 233,301.68, 322,008.99 and 142,733.15 is: 197,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,301.68 : 322,008.99 = 142,733.15 : x
  2. Step 2: Convert to fraction form
    233,301.68/322,008.99 = 142,733.15/x
  3. Step 3: Cross multiply
    233,301.68x = 322,008.99 × 142,733.15
  4. Step 4: Simplify right side
    233,301.68x = 45,961,357,471.02
  5. Step 5: Solve for x
    x = 45,961,357,471.02/233,301.68
  6. Step 6: Final answer
    x = 197,003.97

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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.