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Finding the Fourth Proportional to 155,309.76, 213,798.56 and 114,947.46

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Solution

The fourth proportional to 155,309.76, 213,798.56 and 114,947.46 is: 158,236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,309.76 : 213,798.56 = 114,947.46 : x
  2. Step 2: Convert to fraction form
    155,309.76/213,798.56 = 114,947.46/x
  3. Step 3: Cross multiply
    155,309.76x = 213,798.56 × 114,947.46
  4. Step 4: Simplify right side
    155,309.76x = 24,575,601,423.66
  5. Step 5: Solve for x
    x = 24,575,601,423.66/155,309.76
  6. Step 6: Final answer
    x = 158,236.04

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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.