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Finding the Fourth Proportional to 251,473.02, 377,092.89 and 146,322.06

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Solution

The fourth proportional to 251,473.02, 377,092.89 and 146,322.06 is: 219,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,473.02 : 377,092.89 = 146,322.06 : x
  2. Step 2: Convert to fraction form
    251,473.02/377,092.89 = 146,322.06/x
  3. Step 3: Cross multiply
    251,473.02x = 377,092.89 × 146,322.06
  4. Step 4: Simplify right side
    251,473.02x = 55,177,008,476.15
  5. Step 5: Solve for x
    x = 55,177,008,476.15/251,473.02
  6. Step 6: Final answer
    x = 219,415.22

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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.