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Finding the Fourth Proportional to 354,565.14, 531,843.61 and 101,851.83

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Solution

The fourth proportional to 354,565.14, 531,843.61 and 101,851.83 is: 152,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,565.14 : 531,843.61 = 101,851.83 : x
  2. Step 2: Convert to fraction form
    354,565.14/531,843.61 = 101,851.83/x
  3. Step 3: Cross multiply
    354,565.14x = 531,843.61 × 101,851.83
  4. Step 4: Simplify right side
    354,565.14x = 54,169,242,293.09
  5. Step 5: Solve for x
    x = 54,169,242,293.09/354,565.14
  6. Step 6: Final answer
    x = 152,776.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.