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Finding the Fourth Proportional to 193,291.65, 289,867.95 and 66,897.56

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Solution

The fourth proportional to 193,291.65, 289,867.95 and 66,897.56 is: 100,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,291.65 : 289,867.95 = 66,897.56 : x
  2. Step 2: Convert to fraction form
    193,291.65/289,867.95 = 66,897.56/x
  3. Step 3: Cross multiply
    193,291.65x = 289,867.95 × 66,897.56
  4. Step 4: Simplify right side
    193,291.65x = 19,391,459,301.87
  5. Step 5: Solve for x
    x = 19,391,459,301.87/193,291.65
  6. Step 6: Final answer
    x = 100,322.28

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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.