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Finding the Fourth Proportional to 250,821.64, 376,267.76 and 73,342

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Solution

The fourth proportional to 250,821.64, 376,267.76 and 73,342 is: 110,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,821.64 : 376,267.76 = 73,342 : x
  2. Step 2: Convert to fraction form
    250,821.64/376,267.76 = 73,342/x
  3. Step 3: Cross multiply
    250,821.64x = 376,267.76 × 73,342
  4. Step 4: Simplify right side
    250,821.64x = 27,596,230,053.92
  5. Step 5: Solve for x
    x = 27,596,230,053.92/250,821.64
  6. Step 6: Final answer
    x = 110,023.32

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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.