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Finding the Fourth Proportional to 223,709.76, 308,715.48 and 121,731.75

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Solution

The fourth proportional to 223,709.76, 308,715.48 and 121,731.75 is: 167,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,709.76 : 308,715.48 = 121,731.75 : x
  2. Step 2: Convert to fraction form
    223,709.76/308,715.48 = 121,731.75/x
  3. Step 3: Cross multiply
    223,709.76x = 308,715.48 × 121,731.75
  4. Step 4: Simplify right side
    223,709.76x = 37,580,475,632.49
  5. Step 5: Solve for x
    x = 37,580,475,632.49/223,709.76
  6. Step 6: Final answer
    x = 167,987.64

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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.