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Finding the Fourth Proportional to 150,838.98, 208,152.09 and 83,775.30

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Solution

The fourth proportional to 150,838.98, 208,152.09 and 83,775.30 is: 115,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,838.98 : 208,152.09 = 83,775.30 : x
  2. Step 2: Convert to fraction form
    150,838.98/208,152.09 = 83,775.30/x
  3. Step 3: Cross multiply
    150,838.98x = 208,152.09 × 83,775.30
  4. Step 4: Simplify right side
    150,838.98x = 17,438,003,785.38
  5. Step 5: Solve for x
    x = 17,438,003,785.38/150,838.98
  6. Step 6: Final answer
    x = 115,606.75

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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.