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Finding the Fourth Proportional to 229,083, 316,272.78 and 149,733.24

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Solution

The fourth proportional to 229,083, 316,272.78 and 149,733.24 is: 206,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,083 : 316,272.78 = 149,733.24 : x
  2. Step 2: Convert to fraction form
    229,083/316,272.78 = 149,733.24/x
  3. Step 3: Cross multiply
    229,083x = 316,272.78 × 149,733.24
  4. Step 4: Simplify right side
    229,083x = 47,356,548,073.21
  5. Step 5: Solve for x
    x = 47,356,548,073.21/229,083
  6. Step 6: Final answer
    x = 206,722.23

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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.