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Finding the Fourth Proportional to 97,782.30, 146,805.45 and 62,790.30

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Solution

The fourth proportional to 97,782.30, 146,805.45 and 62,790.30 is: 94,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,782.30 : 146,805.45 = 62,790.30 : x
  2. Step 2: Convert to fraction form
    97,782.30/146,805.45 = 62,790.30/x
  3. Step 3: Cross multiply
    97,782.30x = 146,805.45 × 62,790.30
  4. Step 4: Simplify right side
    97,782.30x = 9,217,958,247.14
  5. Step 5: Solve for x
    x = 9,217,958,247.14/97,782.30
  6. Step 6: Final answer
    x = 94,270.21

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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.