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Finding the Fourth Proportional to 160,005.87, 239,984.10 and 54,800.64

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Solution

The fourth proportional to 160,005.87, 239,984.10 and 54,800.64 is: 82,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,005.87 : 239,984.10 = 54,800.64 : x
  2. Step 2: Convert to fraction form
    160,005.87/239,984.10 = 54,800.64/x
  3. Step 3: Cross multiply
    160,005.87x = 239,984.10 × 54,800.64
  4. Step 4: Simplify right side
    160,005.87x = 13,151,282,269.82
  5. Step 5: Solve for x
    x = 13,151,282,269.82/160,005.87
  6. Step 6: Final answer
    x = 82,192.50

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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.