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Finding the Fourth Proportional to 251,013.76, 376,509.12 and 84,803.20

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Solution

The fourth proportional to 251,013.76, 376,509.12 and 84,803.20 is: 127,200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,013.76 : 376,509.12 = 84,803.20 : x
  2. Step 2: Convert to fraction form
    251,013.76/376,509.12 = 84,803.20/x
  3. Step 3: Cross multiply
    251,013.76x = 376,509.12 × 84,803.20
  4. Step 4: Simplify right side
    251,013.76x = 31,929,178,205.18
  5. Step 5: Solve for x
    x = 31,929,178,205.18/251,013.76
  6. Step 6: Final answer
    x = 127,200.91

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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.