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Finding the Fourth Proportional to 208,362.74, 312,573.89 and 64,280.75

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Solution

The fourth proportional to 208,362.74, 312,573.89 and 64,280.75 is: 96,430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,362.74 : 312,573.89 = 64,280.75 : x
  2. Step 2: Convert to fraction form
    208,362.74/312,573.89 = 64,280.75/x
  3. Step 3: Cross multiply
    208,362.74x = 312,573.89 × 64,280.75
  4. Step 4: Simplify right side
    208,362.74x = 20,092,484,079.62
  5. Step 5: Solve for x
    x = 20,092,484,079.62/208,362.74
  6. Step 6: Final answer
    x = 96,430.31

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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.