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Finding the Fourth Proportional to 243,698.67, 336,214.94 and 146,923.92

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Solution

The fourth proportional to 243,698.67, 336,214.94 and 146,923.92 is: 202,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,698.67 : 336,214.94 = 146,923.92 : x
  2. Step 2: Convert to fraction form
    243,698.67/336,214.94 = 146,923.92/x
  3. Step 3: Cross multiply
    243,698.67x = 336,214.94 × 146,923.92
  4. Step 4: Simplify right side
    243,698.67x = 49,398,016,212.75
  5. Step 5: Solve for x
    x = 49,398,016,212.75/243,698.67
  6. Step 6: Final answer
    x = 202,701.21

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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.