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Finding the Fourth Proportional to 182,301.98, 251,475.64 and 106,835.90

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Solution

The fourth proportional to 182,301.98, 251,475.64 and 106,835.90 is: 147,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,301.98 : 251,475.64 = 106,835.90 : x
  2. Step 2: Convert to fraction form
    182,301.98/251,475.64 = 106,835.90/x
  3. Step 3: Cross multiply
    182,301.98x = 251,475.64 × 106,835.90
  4. Step 4: Simplify right side
    182,301.98x = 26,866,624,803.01
  5. Step 5: Solve for x
    x = 26,866,624,803.01/182,301.98
  6. Step 6: Final answer
    x = 147,374.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.