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Finding the Fourth Proportional to 233,451.69, 322,164.64 and 132,849.69

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Solution

The fourth proportional to 233,451.69, 322,164.64 and 132,849.69 is: 183,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,451.69 : 322,164.64 = 132,849.69 : x
  2. Step 2: Convert to fraction form
    233,451.69/322,164.64 = 132,849.69/x
  3. Step 3: Cross multiply
    233,451.69x = 322,164.64 × 132,849.69
  4. Step 4: Simplify right side
    233,451.69x = 42,799,472,552.96
  5. Step 5: Solve for x
    x = 42,799,472,552.96/233,451.69
  6. Step 6: Final answer
    x = 183,333.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.