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Finding the Fourth Proportional to 208,739.94, 312,853.29 and 96,264

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Solution

The fourth proportional to 208,739.94, 312,853.29 and 96,264 is: 144,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,739.94 : 312,853.29 = 96,264 : x
  2. Step 2: Convert to fraction form
    208,739.94/312,853.29 = 96,264/x
  3. Step 3: Cross multiply
    208,739.94x = 312,853.29 × 96,264
  4. Step 4: Simplify right side
    208,739.94x = 30,116,509,108.56
  5. Step 5: Solve for x
    x = 30,116,509,108.56/208,739.94
  6. Step 6: Final answer
    x = 144,277.66

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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.