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Finding the Fourth Proportional to 231,102.98, 318,802.70 and 146,269.25

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Solution

The fourth proportional to 231,102.98, 318,802.70 and 146,269.25 is: 201,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,102.98 : 318,802.70 = 146,269.25 : x
  2. Step 2: Convert to fraction form
    231,102.98/318,802.70 = 146,269.25/x
  3. Step 3: Cross multiply
    231,102.98x = 318,802.70 × 146,269.25
  4. Step 4: Simplify right side
    231,102.98x = 46,631,031,826.98
  5. Step 5: Solve for x
    x = 46,631,031,826.98/231,102.98
  6. Step 6: Final answer
    x = 201,775.99

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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.