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Finding the Fourth Proportional to 229,560.21, 316,830.69 and 191,259.02

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Solution

The fourth proportional to 229,560.21, 316,830.69 and 191,259.02 is: 263,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,560.21 : 316,830.69 = 191,259.02 : x
  2. Step 2: Convert to fraction form
    229,560.21/316,830.69 = 191,259.02/x
  3. Step 3: Cross multiply
    229,560.21x = 316,830.69 × 191,259.02
  4. Step 4: Simplify right side
    229,560.21x = 60,596,728,067.40
  5. Step 5: Solve for x
    x = 60,596,728,067.40/229,560.21
  6. Step 6: Final answer
    x = 263,968.78

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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.