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Finding the Fourth Proportional to 208,734, 288,052.92 and 119,311.92

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Solution

The fourth proportional to 208,734, 288,052.92 and 119,311.92 is: 164,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,734 : 288,052.92 = 119,311.92 : x
  2. Step 2: Convert to fraction form
    208,734/288,052.92 = 119,311.92/x
  3. Step 3: Cross multiply
    208,734x = 288,052.92 × 119,311.92
  4. Step 4: Simplify right side
    208,734x = 34,368,146,946.81
  5. Step 5: Solve for x
    x = 34,368,146,946.81/208,734
  6. Step 6: Final answer
    x = 164,650.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.