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Finding the Fourth Proportional to 157,253.12, 217,009.32 and 85,633.12

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Solution

The fourth proportional to 157,253.12, 217,009.32 and 85,633.12 is: 118,173.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,253.12 : 217,009.32 = 85,633.12 : x
  2. Step 2: Convert to fraction form
    157,253.12/217,009.32 = 85,633.12/x
  3. Step 3: Cross multiply
    157,253.12x = 217,009.32 × 85,633.12
  4. Step 4: Simplify right side
    157,253.12x = 18,583,185,140.68
  5. Step 5: Solve for x
    x = 18,583,185,140.68/157,253.12
  6. Step 6: Final answer
    x = 118,173.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.