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Finding the Fourth Proportional to 233,452.96, 322,177.07 and 142,780.48

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Solution

The fourth proportional to 233,452.96, 322,177.07 and 142,780.48 is: 197,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,452.96 : 322,177.07 = 142,780.48 : x
  2. Step 2: Convert to fraction form
    233,452.96/322,177.07 = 142,780.48/x
  3. Step 3: Cross multiply
    233,452.96x = 322,177.07 × 142,780.48
  4. Step 4: Simplify right side
    233,452.96x = 46,000,596,699.59
  5. Step 5: Solve for x
    x = 46,000,596,699.59/233,452.96
  6. Step 6: Final answer
    x = 197,044.39

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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.