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Finding the Fourth Proportional to 322,181.19, 483,359.27 and 97,549.16

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Solution

The fourth proportional to 322,181.19, 483,359.27 and 97,549.16 is: 146,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,181.19 : 483,359.27 = 97,549.16 : x
  2. Step 2: Convert to fraction form
    322,181.19/483,359.27 = 97,549.16/x
  3. Step 3: Cross multiply
    322,181.19x = 483,359.27 × 97,549.16
  4. Step 4: Simplify right side
    322,181.19x = 47,151,287,862.17
  5. Step 5: Solve for x
    x = 47,151,287,862.17/322,181.19
  6. Step 6: Final answer
    x = 146,350.22

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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.