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Finding the Fourth Proportional to 208,737.44, 312,849.54 and 96,261.50

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Solution

The fourth proportional to 208,737.44, 312,849.54 and 96,261.50 is: 144,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,737.44 : 312,849.54 = 96,261.50 : x
  2. Step 2: Convert to fraction form
    208,737.44/312,849.54 = 96,261.50/x
  3. Step 3: Cross multiply
    208,737.44x = 312,849.54 × 96,261.50
  4. Step 4: Simplify right side
    208,737.44x = 30,115,365,994.71
  5. Step 5: Solve for x
    x = 30,115,365,994.71/208,737.44
  6. Step 6: Final answer
    x = 144,273.91

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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.