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Finding the Fourth Proportional to 221,678.16, 305,913.96 and 121,074

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Solution

The fourth proportional to 221,678.16, 305,913.96 and 121,074 is: 167,081.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,678.16 : 305,913.96 = 121,074 : x
  2. Step 2: Convert to fraction form
    221,678.16/305,913.96 = 121,074/x
  3. Step 3: Cross multiply
    221,678.16x = 305,913.96 × 121,074
  4. Step 4: Simplify right side
    221,678.16x = 37,038,226,793.04
  5. Step 5: Solve for x
    x = 37,038,226,793.04/221,678.16
  6. Step 6: Final answer
    x = 167,081.08

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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.