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Finding the Fourth Proportional to 225,424, 311,094.84 and 124,822

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Solution

The fourth proportional to 225,424, 311,094.84 and 124,822 is: 172,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,424 : 311,094.84 = 124,822 : x
  2. Step 2: Convert to fraction form
    225,424/311,094.84 = 124,822/x
  3. Step 3: Cross multiply
    225,424x = 311,094.84 × 124,822
  4. Step 4: Simplify right side
    225,424x = 38,831,480,118.48
  5. Step 5: Solve for x
    x = 38,831,480,118.48/225,424
  6. Step 6: Final answer
    x = 172,259.74

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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.