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Finding the Fourth Proportional to 224,978.88, 310,726.11 and 153,234.48

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Solution

The fourth proportional to 224,978.88, 310,726.11 and 153,234.48 is: 211,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,978.88 : 310,726.11 = 153,234.48 : x
  2. Step 2: Convert to fraction form
    224,978.88/310,726.11 = 153,234.48/x
  3. Step 3: Cross multiply
    224,978.88x = 310,726.11 × 153,234.48
  4. Step 4: Simplify right side
    224,978.88x = 47,613,953,888.27
  5. Step 5: Solve for x
    x = 47,613,953,888.27/224,978.88
  6. Step 6: Final answer
    x = 211,637.44

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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.