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Finding the Fourth Proportional to 223,551.44, 308,503.06 and 121,577.86

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Solution

The fourth proportional to 223,551.44, 308,503.06 and 121,577.86 is: 167,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,551.44 : 308,503.06 = 121,577.86 : x
  2. Step 2: Convert to fraction form
    223,551.44/308,503.06 = 121,577.86/x
  3. Step 3: Cross multiply
    223,551.44x = 308,503.06 × 121,577.86
  4. Step 4: Simplify right side
    223,551.44x = 37,507,141,838.25
  5. Step 5: Solve for x
    x = 37,507,141,838.25/223,551.44
  6. Step 6: Final answer
    x = 167,778.57

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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.