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Finding the Fourth Proportional to 157,140.57, 216,849.81 and 85,519.05

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Solution

The fourth proportional to 157,140.57, 216,849.81 and 85,519.05 is: 118,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.57 : 216,849.81 = 85,519.05 : x
  2. Step 2: Convert to fraction form
    157,140.57/216,849.81 = 85,519.05/x
  3. Step 3: Cross multiply
    157,140.57x = 216,849.81 × 85,519.05
  4. Step 4: Simplify right side
    157,140.57x = 18,544,789,743.88
  5. Step 5: Solve for x
    x = 18,544,789,743.88/157,140.57
  6. Step 6: Final answer
    x = 118,014.02

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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.