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Finding the Fourth Proportional to 213,525.61, 294,656.38 and 126,367.20

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Solution

The fourth proportional to 213,525.61, 294,656.38 and 126,367.20 is: 174,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,525.61 : 294,656.38 = 126,367.20 : x
  2. Step 2: Convert to fraction form
    213,525.61/294,656.38 = 126,367.20/x
  3. Step 3: Cross multiply
    213,525.61x = 294,656.38 × 126,367.20
  4. Step 4: Simplify right side
    213,525.61x = 37,234,901,386.82
  5. Step 5: Solve for x
    x = 37,234,901,386.82/213,525.61
  6. Step 6: Final answer
    x = 174,381.43

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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.