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Finding the Fourth Proportional to 272,869.70, 409,365.91 and 83,314.21

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Solution

The fourth proportional to 272,869.70, 409,365.91 and 83,314.21 is: 124,990.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,869.70 : 409,365.91 = 83,314.21 : x
  2. Step 2: Convert to fraction form
    272,869.70/409,365.91 = 83,314.21/x
  3. Step 3: Cross multiply
    272,869.70x = 409,365.91 × 83,314.21
  4. Step 4: Simplify right side
    272,869.70x = 34,105,997,392.58
  5. Step 5: Solve for x
    x = 34,105,997,392.58/272,869.70
  6. Step 6: Final answer
    x = 124,990.05

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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.