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Finding the Fourth Proportional to 223,794.46, 308,840.30 and 121,822.86

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Solution

The fourth proportional to 223,794.46, 308,840.30 and 121,822.86 is: 168,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,794.46 : 308,840.30 = 121,822.86 : x
  2. Step 2: Convert to fraction form
    223,794.46/308,840.30 = 121,822.86/x
  3. Step 3: Cross multiply
    223,794.46x = 308,840.30 × 121,822.86
  4. Step 4: Simplify right side
    223,794.46x = 37,623,808,629.26
  5. Step 5: Solve for x
    x = 37,623,808,629.26/223,794.46
  6. Step 6: Final answer
    x = 168,117.69

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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.