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Finding the Fourth Proportional to 233,344.72, 322,007.16 and 142,666.84

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Solution

The fourth proportional to 233,344.72, 322,007.16 and 142,666.84 is: 196,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,344.72 : 322,007.16 = 142,666.84 : x
  2. Step 2: Convert to fraction form
    233,344.72/322,007.16 = 142,666.84/x
  3. Step 3: Cross multiply
    233,344.72x = 322,007.16 × 142,666.84
  4. Step 4: Simplify right side
    233,344.72x = 45,939,743,974.57
  5. Step 5: Solve for x
    x = 45,939,743,974.57/233,344.72
  6. Step 6: Final answer
    x = 196,875.01

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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.