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Finding the Fourth Proportional to 233,838.79, 322,623.96 and 143,100.16

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Solution

The fourth proportional to 233,838.79, 322,623.96 and 143,100.16 is: 197,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838.79 : 322,623.96 = 143,100.16 : x
  2. Step 2: Convert to fraction form
    233,838.79/322,623.96 = 143,100.16/x
  3. Step 3: Cross multiply
    233,838.79x = 322,623.96 × 143,100.16
  4. Step 4: Simplify right side
    233,838.79x = 46,167,540,295.83
  5. Step 5: Solve for x
    x = 46,167,540,295.83/233,838.79
  6. Step 6: Final answer
    x = 197,433.20

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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.