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Finding the Fourth Proportional to 223,784.21, 308,830.02 and 121,818.06

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Solution

The fourth proportional to 223,784.21, 308,830.02 and 121,818.06 is: 168,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,784.21 : 308,830.02 = 121,818.06 : x
  2. Step 2: Convert to fraction form
    223,784.21/308,830.02 = 121,818.06/x
  3. Step 3: Cross multiply
    223,784.21x = 308,830.02 × 121,818.06
  4. Step 4: Simplify right side
    223,784.21x = 37,621,073,906.16
  5. Step 5: Solve for x
    x = 37,621,073,906.16/223,784.21
  6. Step 6: Final answer
    x = 168,113.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.