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Finding the Fourth Proportional to 157,436.46, 217,259.04 and 85,815.84

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Solution

The fourth proportional to 157,436.46, 217,259.04 and 85,815.84 is: 118,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,436.46 : 217,259.04 = 85,815.84 : x
  2. Step 2: Convert to fraction form
    157,436.46/217,259.04 = 85,815.84/x
  3. Step 3: Cross multiply
    157,436.46x = 217,259.04 × 85,815.84
  4. Step 4: Simplify right side
    157,436.46x = 18,644,267,015.19
  5. Step 5: Solve for x
    x = 18,644,267,015.19/157,436.46
  6. Step 6: Final answer
    x = 118,424.07

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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.