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Finding the Fourth Proportional to 208,041.96, 312,076.91 and 73,089.62

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Solution

The fourth proportional to 208,041.96, 312,076.91 and 73,089.62 is: 109,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,041.96 : 312,076.91 = 73,089.62 : x
  2. Step 2: Convert to fraction form
    208,041.96/312,076.91 = 73,089.62/x
  3. Step 3: Cross multiply
    208,041.96x = 312,076.91 × 73,089.62
  4. Step 4: Simplify right side
    208,041.96x = 22,809,582,762.67
  5. Step 5: Solve for x
    x = 22,809,582,762.67/208,041.96
  6. Step 6: Final answer
    x = 109,639.34

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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.