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Finding the Fourth Proportional to 229,784.21, 316,946.34 and 149,067.50

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Solution

The fourth proportional to 229,784.21, 316,946.34 and 149,067.50 is: 205,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,784.21 : 316,946.34 = 149,067.50 : x
  2. Step 2: Convert to fraction form
    229,784.21/316,946.34 = 149,067.50/x
  3. Step 3: Cross multiply
    229,784.21x = 316,946.34 × 149,067.50
  4. Step 4: Simplify right side
    229,784.21x = 47,246,398,537.95
  5. Step 5: Solve for x
    x = 47,246,398,537.95/229,784.21
  6. Step 6: Final answer
    x = 205,612.03

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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.