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Finding the Fourth Proportional to 215,503.74, 322,355.34 and 151,457.40

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Solution

The fourth proportional to 215,503.74, 322,355.34 and 151,457.40 is: 226,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,503.74 : 322,355.34 = 151,457.40 : x
  2. Step 2: Convert to fraction form
    215,503.74/322,355.34 = 151,457.40/x
  3. Step 3: Cross multiply
    215,503.74x = 322,355.34 × 151,457.40
  4. Step 4: Simplify right side
    215,503.74x = 48,823,101,672.52
  5. Step 5: Solve for x
    x = 48,823,101,672.52/215,503.74
  6. Step 6: Final answer
    x = 226,553.38

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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.