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Finding the Fourth Proportional to 225,003.40, 337,116.30 and 106,419.40

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Solution

The fourth proportional to 225,003.40, 337,116.30 and 106,419.40 is: 159,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,003.40 : 337,116.30 = 106,419.40 : x
  2. Step 2: Convert to fraction form
    225,003.40/337,116.30 = 106,419.40/x
  3. Step 3: Cross multiply
    225,003.40x = 337,116.30 × 106,419.40
  4. Step 4: Simplify right side
    225,003.40x = 35,875,714,376.22
  5. Step 5: Solve for x
    x = 35,875,714,376.22/225,003.40
  6. Step 6: Final answer
    x = 159,445.21

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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.