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Finding the Fourth Proportional to 223,597.10, 308,570.92 and 121,629.98

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Solution

The fourth proportional to 223,597.10, 308,570.92 and 121,629.98 is: 167,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,597.10 : 308,570.92 = 121,629.98 : x
  2. Step 2: Convert to fraction form
    223,597.10/308,570.92 = 121,629.98/x
  3. Step 3: Cross multiply
    223,597.10x = 308,570.92 × 121,629.98
  4. Step 4: Simplify right side
    223,597.10x = 37,531,474,828.18
  5. Step 5: Solve for x
    x = 37,531,474,828.18/223,597.10
  6. Step 6: Final answer
    x = 167,853.14

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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.