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Finding the Fourth Proportional to 223,702.36, 308,722.56 and 128,215.19

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Solution

The fourth proportional to 223,702.36, 308,722.56 and 128,215.19 is: 176,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,702.36 : 308,722.56 = 128,215.19 : x
  2. Step 2: Convert to fraction form
    223,702.36/308,722.56 = 128,215.19/x
  3. Step 3: Cross multiply
    223,702.36x = 308,722.56 × 128,215.19
  4. Step 4: Simplify right side
    223,702.36x = 39,582,921,978.69
  5. Step 5: Solve for x
    x = 39,582,921,978.69/223,702.36
  6. Step 6: Final answer
    x = 176,944.59

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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.