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Finding the Fourth Proportional to 105,467, 158,202.48 and 49,291.72

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Solution

The fourth proportional to 105,467, 158,202.48 and 49,291.72 is: 73,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,467 : 158,202.48 = 49,291.72 : x
  2. Step 2: Convert to fraction form
    105,467/158,202.48 = 49,291.72/x
  3. Step 3: Cross multiply
    105,467x = 158,202.48 × 49,291.72
  4. Step 4: Simplify right side
    105,467x = 7,798,072,347.47
  5. Step 5: Solve for x
    x = 7,798,072,347.47/105,467
  6. Step 6: Final answer
    x = 73,938.51

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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.