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Finding the Fourth Proportional to 157,047.42, 216,731.10 and 89,992.38

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Solution

The fourth proportional to 157,047.42, 216,731.10 and 89,992.38 is: 124,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,047.42 : 216,731.10 = 89,992.38 : x
  2. Step 2: Convert to fraction form
    157,047.42/216,731.10 = 89,992.38/x
  3. Step 3: Cross multiply
    157,047.42x = 216,731.10 × 89,992.38
  4. Step 4: Simplify right side
    157,047.42x = 19,504,147,509.02
  5. Step 5: Solve for x
    x = 19,504,147,509.02/157,047.42
  6. Step 6: Final answer
    x = 124,192.73

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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.