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Finding the Fourth Proportional to 207,795.78, 311,715.54 and 102,513.60

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Solution

The fourth proportional to 207,795.78, 311,715.54 and 102,513.60 is: 153,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,795.78 : 311,715.54 = 102,513.60 : x
  2. Step 2: Convert to fraction form
    207,795.78/311,715.54 = 102,513.60/x
  3. Step 3: Cross multiply
    207,795.78x = 311,715.54 × 102,513.60
  4. Step 4: Simplify right side
    207,795.78x = 31,955,082,181.34
  5. Step 5: Solve for x
    x = 31,955,082,181.34/207,795.78
  6. Step 6: Final answer
    x = 153,781.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.