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Finding the Fourth Proportional to 107,370, 161,100.48 and 57,437

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Solution

The fourth proportional to 107,370, 161,100.48 and 57,437 is: 86,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,370 : 161,100.48 = 57,437 : x
  2. Step 2: Convert to fraction form
    107,370/161,100.48 = 57,437/x
  3. Step 3: Cross multiply
    107,370x = 161,100.48 × 57,437
  4. Step 4: Simplify right side
    107,370x = 9,253,128,269.76
  5. Step 5: Solve for x
    x = 9,253,128,269.76/107,370
  6. Step 6: Final answer
    x = 86,179.83

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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.