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Finding the Fourth Proportional to 212,007.14, 292,570.07 and 116,511.78

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Solution

The fourth proportional to 212,007.14, 292,570.07 and 116,511.78 is: 160,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,007.14 : 292,570.07 = 116,511.78 : x
  2. Step 2: Convert to fraction form
    212,007.14/292,570.07 = 116,511.78/x
  3. Step 3: Cross multiply
    212,007.14x = 292,570.07 × 116,511.78
  4. Step 4: Simplify right side
    212,007.14x = 34,087,859,047.87
  5. Step 5: Solve for x
    x = 34,087,859,047.87/212,007.14
  6. Step 6: Final answer
    x = 160,786.38

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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.