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Finding the Fourth Proportional to 150,556.93, 207,768.56 and 83,488.93

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Solution

The fourth proportional to 150,556.93, 207,768.56 and 83,488.93 is: 115,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,556.93 : 207,768.56 = 83,488.93 : x
  2. Step 2: Convert to fraction form
    150,556.93/207,768.56 = 83,488.93/x
  3. Step 3: Cross multiply
    150,556.93x = 207,768.56 × 83,488.93
  4. Step 4: Simplify right side
    150,556.93x = 17,346,373,825.17
  5. Step 5: Solve for x
    x = 17,346,373,825.17/150,556.93
  6. Step 6: Final answer
    x = 115,214.72

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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.