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Finding the Fourth Proportional to 233,735.52, 322,483.24 and 142,996.89

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Solution

The fourth proportional to 233,735.52, 322,483.24 and 142,996.89 is: 197,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,735.52 : 322,483.24 = 142,996.89 : x
  2. Step 2: Convert to fraction form
    233,735.52/322,483.24 = 142,996.89/x
  3. Step 3: Cross multiply
    233,735.52x = 322,483.24 × 142,996.89
  4. Step 4: Simplify right side
    233,735.52x = 46,114,101,785.18
  5. Step 5: Solve for x
    x = 46,114,101,785.18/233,735.52
  6. Step 6: Final answer
    x = 197,291.80

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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.