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Finding the Fourth Proportional to 208,062.64, 312,128.96 and 65,947.53

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Solution

The fourth proportional to 208,062.64, 312,128.96 and 65,947.53 is: 98,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,062.64 : 312,128.96 = 65,947.53 : x
  2. Step 2: Convert to fraction form
    208,062.64/312,128.96 = 65,947.53/x
  3. Step 3: Cross multiply
    208,062.64x = 312,128.96 × 65,947.53
  4. Step 4: Simplify right side
    208,062.64x = 20,584,133,953.47
  5. Step 5: Solve for x
    x = 20,584,133,953.47/208,062.64
  6. Step 6: Final answer
    x = 98,932.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.