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Finding the Fourth Proportional to 95,856.96, 144,303.04 and 86,212.24

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Solution

The fourth proportional to 95,856.96, 144,303.04 and 86,212.24 is: 129,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,856.96 : 144,303.04 = 86,212.24 : x
  2. Step 2: Convert to fraction form
    95,856.96/144,303.04 = 86,212.24/x
  3. Step 3: Cross multiply
    95,856.96x = 144,303.04 × 86,212.24
  4. Step 4: Simplify right side
    95,856.96x = 12,440,688,317.21
  5. Step 5: Solve for x
    x = 12,440,688,317.21/95,856.96
  6. Step 6: Final answer
    x = 129,783.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.