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Finding the Fourth Proportional to 233,504.78, 322,177.14 and 142,827.62

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Solution

The fourth proportional to 233,504.78, 322,177.14 and 142,827.62 is: 197,065.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,504.78 : 322,177.14 = 142,827.62 : x
  2. Step 2: Convert to fraction form
    233,504.78/322,177.14 = 142,827.62/x
  3. Step 3: Cross multiply
    233,504.78x = 322,177.14 × 142,827.62
  4. Step 4: Simplify right side
    233,504.78x = 46,015,794,124.61
  5. Step 5: Solve for x
    x = 46,015,794,124.61/233,504.78
  6. Step 6: Final answer
    x = 197,065.75

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1.5x scale

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.