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Finding the Fourth Proportional to 105,291.90, 158,014.02 and 41,259.60

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Solution

The fourth proportional to 105,291.90, 158,014.02 and 41,259.60 is: 61,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,291.90 : 158,014.02 = 41,259.60 : x
  2. Step 2: Convert to fraction form
    105,291.90/158,014.02 = 41,259.60/x
  3. Step 3: Cross multiply
    105,291.90x = 158,014.02 × 41,259.60
  4. Step 4: Simplify right side
    105,291.90x = 6,519,595,259.59
  5. Step 5: Solve for x
    x = 6,519,595,259.59/105,291.90
  6. Step 6: Final answer
    x = 61,919.25

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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.