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Finding the Fourth Proportional to 223,152.14, 307,948.97 and 121,176.78

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Solution

The fourth proportional to 223,152.14, 307,948.97 and 121,176.78 is: 167,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,152.14 : 307,948.97 = 121,176.78 : x
  2. Step 2: Convert to fraction form
    223,152.14/307,948.97 = 121,176.78/x
  3. Step 3: Cross multiply
    223,152.14x = 307,948.97 × 121,176.78
  4. Step 4: Simplify right side
    223,152.14x = 37,316,263,983.03
  5. Step 5: Solve for x
    x = 37,316,263,983.03/223,152.14
  6. Step 6: Final answer
    x = 167,223.42

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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.