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Finding the Fourth Proportional to 105,718.34, 145,893.38 and 57,971.78

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Solution

The fourth proportional to 105,718.34, 145,893.38 and 57,971.78 is: 80,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,718.34 : 145,893.38 = 57,971.78 : x
  2. Step 2: Convert to fraction form
    105,718.34/145,893.38 = 57,971.78/x
  3. Step 3: Cross multiply
    105,718.34x = 145,893.38 × 57,971.78
  4. Step 4: Simplify right side
    105,718.34x = 8,457,698,928.82
  5. Step 5: Solve for x
    x = 8,457,698,928.82/105,718.34
  6. Step 6: Final answer
    x = 80,002.19

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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.