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Finding the Fourth Proportional to 105,122.12, 145,046.36 and 66,867.76

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Solution

The fourth proportional to 105,122.12, 145,046.36 and 66,867.76 is: 92,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,122.12 : 145,046.36 = 66,867.76 : x
  2. Step 2: Convert to fraction form
    105,122.12/145,046.36 = 66,867.76/x
  3. Step 3: Cross multiply
    105,122.12x = 145,046.36 × 66,867.76
  4. Step 4: Simplify right side
    105,122.12x = 9,698,925,189.35
  5. Step 5: Solve for x
    x = 9,698,925,189.35/105,122.12
  6. Step 6: Final answer
    x = 92,263.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.