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Finding the Fourth Proportional to 105,716, 145,892.50 and 57,971.18

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Solution

The fourth proportional to 105,716, 145,892.50 and 57,971.18 is: 80,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,716 : 145,892.50 = 57,971.18 : x
  2. Step 2: Convert to fraction form
    105,716/145,892.50 = 57,971.18/x
  3. Step 3: Cross multiply
    105,716x = 145,892.50 × 57,971.18
  4. Step 4: Simplify right side
    105,716x = 8,457,560,378.15
  5. Step 5: Solve for x
    x = 8,457,560,378.15/105,716
  6. Step 6: Final answer
    x = 80,002.65

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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.