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Finding the Fourth Proportional to 279,753.98, 419,754.98 and 146,602.58

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Solution

The fourth proportional to 279,753.98, 419,754.98 and 146,602.58 is: 219,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,753.98 : 419,754.98 = 146,602.58 : x
  2. Step 2: Convert to fraction form
    279,753.98/419,754.98 = 146,602.58/x
  3. Step 3: Cross multiply
    279,753.98x = 419,754.98 × 146,602.58
  4. Step 4: Simplify right side
    279,753.98x = 61,537,161,303.58
  5. Step 5: Solve for x
    x = 61,537,161,303.58/279,753.98
  6. Step 6: Final answer
    x = 219,968.85

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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.