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Finding the Fourth Proportional to 105,170.96, 145,289.46 and 90,999.20

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Solution

The fourth proportional to 105,170.96, 145,289.46 and 90,999.20 is: 125,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,170.96 : 145,289.46 = 90,999.20 : x
  2. Step 2: Convert to fraction form
    105,170.96/145,289.46 = 90,999.20/x
  3. Step 3: Cross multiply
    105,170.96x = 145,289.46 × 90,999.20
  4. Step 4: Simplify right side
    105,170.96x = 13,221,224,628.43
  5. Step 5: Solve for x
    x = 13,221,224,628.43/105,170.96
  6. Step 6: Final answer
    x = 125,711.74

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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.