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Finding the Fourth Proportional to 193,047.51, 289,498.37 and 93,174.51

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Solution

The fourth proportional to 193,047.51, 289,498.37 and 93,174.51 is: 139,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,047.51 : 289,498.37 = 93,174.51 : x
  2. Step 2: Convert to fraction form
    193,047.51/289,498.37 = 93,174.51/x
  3. Step 3: Cross multiply
    193,047.51x = 289,498.37 × 93,174.51
  4. Step 4: Simplify right side
    193,047.51x = 26,973,868,304.68
  5. Step 5: Solve for x
    x = 26,973,868,304.68/193,047.51
  6. Step 6: Final answer
    x = 139,726.58

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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.