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Finding the Fourth Proportional to 155,309.52, 213,798.22 and 114,947.22

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Solution

The fourth proportional to 155,309.52, 213,798.22 and 114,947.22 is: 158,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,309.52 : 213,798.22 = 114,947.22 : x
  2. Step 2: Convert to fraction form
    155,309.52/213,798.22 = 114,947.22/x
  3. Step 3: Cross multiply
    155,309.52x = 213,798.22 × 114,947.22
  4. Step 4: Simplify right side
    155,309.52x = 24,575,511,029.95
  5. Step 5: Solve for x
    x = 24,575,511,029.95/155,309.52
  6. Step 6: Final answer
    x = 158,235.70

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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.