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Finding the Fourth Proportional to 251,530.20, 377,215.08 and 83,019.24

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Solution

The fourth proportional to 251,530.20, 377,215.08 and 83,019.24 is: 124,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,530.20 : 377,215.08 = 83,019.24 : x
  2. Step 2: Convert to fraction form
    251,530.20/377,215.08 = 83,019.24/x
  3. Step 3: Cross multiply
    251,530.20x = 377,215.08 × 83,019.24
  4. Step 4: Simplify right side
    251,530.20x = 31,316,109,258.14
  5. Step 5: Solve for x
    x = 31,316,109,258.14/251,530.20
  6. Step 6: Final answer
    x = 124,502.38

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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.