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Finding the Fourth Proportional to 193,681.87, 289,897.84 and 100,058.83

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Solution

The fourth proportional to 193,681.87, 289,897.84 and 100,058.83 is: 149,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,681.87 : 289,897.84 = 100,058.83 : x
  2. Step 2: Convert to fraction form
    193,681.87/289,897.84 = 100,058.83/x
  3. Step 3: Cross multiply
    193,681.87x = 289,897.84 × 100,058.83
  4. Step 4: Simplify right side
    193,681.87x = 29,006,836,740.14
  5. Step 5: Solve for x
    x = 29,006,836,740.14/193,681.87
  6. Step 6: Final answer
    x = 149,765.37

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1.5x scale

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.