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Finding the Fourth Proportional to 173,337, 260,005.50 and 42,009

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Solution

The fourth proportional to 173,337, 260,005.50 and 42,009 is: 63,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,337 : 260,005.50 = 42,009 : x
  2. Step 2: Convert to fraction form
    173,337/260,005.50 = 42,009/x
  3. Step 3: Cross multiply
    173,337x = 260,005.50 × 42,009
  4. Step 4: Simplify right side
    173,337x = 10,922,571,049.50
  5. Step 5: Solve for x
    x = 10,922,571,049.50/173,337
  6. Step 6: Final answer
    x = 63,013.50

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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.