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Finding the Fourth Proportional to 157,428.02, 217,249.32 and 85,808.06

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Solution

The fourth proportional to 157,428.02, 217,249.32 and 85,808.06 is: 118,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,428.02 : 217,249.32 = 85,808.06 : x
  2. Step 2: Convert to fraction form
    157,428.02/217,249.32 = 85,808.06/x
  3. Step 3: Cross multiply
    157,428.02x = 217,249.32 × 85,808.06
  4. Step 4: Simplify right side
    157,428.02x = 18,641,742,685.52
  5. Step 5: Solve for x
    x = 18,641,742,685.52/157,428.02
  6. Step 6: Final answer
    x = 118,414.39

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Why These Related Problems?

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