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Finding the Fourth Proportional to 241,784.38, 333,693.12 and 146,291.86

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Solution

The fourth proportional to 241,784.38, 333,693.12 and 146,291.86 is: 201,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,784.38 : 333,693.12 = 146,291.86 : x
  2. Step 2: Convert to fraction form
    241,784.38/333,693.12 = 146,291.86/x
  3. Step 3: Cross multiply
    241,784.38x = 333,693.12 × 146,291.86
  4. Step 4: Simplify right side
    241,784.38x = 48,816,586,908.36
  5. Step 5: Solve for x
    x = 48,816,586,908.36/241,784.38
  6. Step 6: Final answer
    x = 201,901.33

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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.