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Finding the Fourth Proportional to 233,453.67, 322,161.66 and 142,802.97

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Solution

The fourth proportional to 233,453.67, 322,161.66 and 142,802.97 is: 197,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,453.67 : 322,161.66 = 142,802.97 : x
  2. Step 2: Convert to fraction form
    233,453.67/322,161.66 = 142,802.97/x
  3. Step 3: Cross multiply
    233,453.67x = 322,161.66 × 142,802.97
  4. Step 4: Simplify right side
    233,453.67x = 46,005,641,868.13
  5. Step 5: Solve for x
    x = 46,005,641,868.13/233,453.67
  6. Step 6: Final answer
    x = 197,065.40

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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.