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Finding the Fourth Proportional to 225,219.30, 337,881.48 and 65,298.56

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Solution

The fourth proportional to 225,219.30, 337,881.48 and 65,298.56 is: 97,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,219.30 : 337,881.48 = 65,298.56 : x
  2. Step 2: Convert to fraction form
    225,219.30/337,881.48 = 65,298.56/x
  3. Step 3: Cross multiply
    225,219.30x = 337,881.48 × 65,298.56
  4. Step 4: Simplify right side
    225,219.30x = 22,063,174,094.67
  5. Step 5: Solve for x
    x = 22,063,174,094.67/225,219.30
  6. Step 6: Final answer
    x = 97,963.07

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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.