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Finding the Fourth Proportional to 223,392.53, 308,284.81 and 121,417.96

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Solution

The fourth proportional to 223,392.53, 308,284.81 and 121,417.96 is: 167,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,392.53 : 308,284.81 = 121,417.96 : x
  2. Step 2: Convert to fraction form
    223,392.53/308,284.81 = 121,417.96/x
  3. Step 3: Cross multiply
    223,392.53x = 308,284.81 × 121,417.96
  4. Step 4: Simplify right side
    223,392.53x = 37,431,312,729.19
  5. Step 5: Solve for x
    x = 37,431,312,729.19/223,392.53
  6. Step 6: Final answer
    x = 167,558.48

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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.