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Finding the Fourth Proportional to 193,897.56, 290,689.43 and 87,203.37

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Solution

The fourth proportional to 193,897.56, 290,689.43 and 87,203.37 is: 130,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,897.56 : 290,689.43 = 87,203.37 : x
  2. Step 2: Convert to fraction form
    193,897.56/290,689.43 = 87,203.37/x
  3. Step 3: Cross multiply
    193,897.56x = 290,689.43 × 87,203.37
  4. Step 4: Simplify right side
    193,897.56x = 25,349,097,483.36
  5. Step 5: Solve for x
    x = 25,349,097,483.36/193,897.56
  6. Step 6: Final answer
    x = 130,734.48

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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.