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Finding the Fourth Proportional to 190,693.58, 286,086.65 and 57,565.89

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Solution

The fourth proportional to 190,693.58, 286,086.65 and 57,565.89 is: 86,362.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,693.58 : 286,086.65 = 57,565.89 : x
  2. Step 2: Convert to fraction form
    190,693.58/286,086.65 = 57,565.89/x
  3. Step 3: Cross multiply
    190,693.58x = 286,086.65 × 57,565.89
  4. Step 4: Simplify right side
    190,693.58x = 16,468,832,336.54
  5. Step 5: Solve for x
    x = 16,468,832,336.54/190,693.58
  6. Step 6: Final answer
    x = 86,362.81

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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.