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Finding the Fourth Proportional to 213,140.64, 319,494.63 and 182,032.64

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Solution

The fourth proportional to 213,140.64, 319,494.63 and 182,032.64 is: 272,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,140.64 : 319,494.63 = 182,032.64 : x
  2. Step 2: Convert to fraction form
    213,140.64/319,494.63 = 182,032.64/x
  3. Step 3: Cross multiply
    213,140.64x = 319,494.63 × 182,032.64
  4. Step 4: Simplify right side
    213,140.64x = 58,158,451,122.62
  5. Step 5: Solve for x
    x = 58,158,451,122.62/213,140.64
  6. Step 6: Final answer
    x = 272,864.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.