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Finding the Fourth Proportional to 229,859.52, 317,026.39 and 149,312.98

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Solution

The fourth proportional to 229,859.52, 317,026.39 and 149,312.98 is: 205,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,859.52 : 317,026.39 = 149,312.98 : x
  2. Step 2: Convert to fraction form
    229,859.52/317,026.39 = 149,312.98/x
  3. Step 3: Cross multiply
    229,859.52x = 317,026.39 × 149,312.98
  4. Step 4: Simplify right side
    229,859.52x = 47,336,155,029.54
  5. Step 5: Solve for x
    x = 47,336,155,029.54/229,859.52
  6. Step 6: Final answer
    x = 205,935.15

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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.