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Finding the Fourth Proportional to 224,682.61, 310,064.10 and 127,881.72

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Solution

The fourth proportional to 224,682.61, 310,064.10 and 127,881.72 is: 176,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,682.61 : 310,064.10 = 127,881.72 : x
  2. Step 2: Convert to fraction form
    224,682.61/310,064.10 = 127,881.72/x
  3. Step 3: Cross multiply
    224,682.61x = 310,064.10 × 127,881.72
  4. Step 4: Simplify right side
    224,682.61x = 39,651,530,418.25
  5. Step 5: Solve for x
    x = 39,651,530,418.25/224,682.61
  6. Step 6: Final answer
    x = 176,477.97

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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.