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Finding the Fourth Proportional to 140,565.75, 210,848.84 and 57,459.75

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Solution

The fourth proportional to 140,565.75, 210,848.84 and 57,459.75 is: 86,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,565.75 : 210,848.84 = 57,459.75 : x
  2. Step 2: Convert to fraction form
    140,565.75/210,848.84 = 57,459.75/x
  3. Step 3: Cross multiply
    140,565.75x = 210,848.84 × 57,459.75
  4. Step 4: Simplify right side
    140,565.75x = 12,115,321,346.89
  5. Step 5: Solve for x
    x = 12,115,321,346.89/140,565.75
  6. Step 6: Final answer
    x = 86,189.71

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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.