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Finding the Fourth Proportional to 105,127.43, 145,073.54 and 57,381.57

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Solution

The fourth proportional to 105,127.43, 145,073.54 and 57,381.57 is: 79,185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,127.43 : 145,073.54 = 57,381.57 : x
  2. Step 2: Convert to fraction form
    105,127.43/145,073.54 = 57,381.57/x
  3. Step 3: Cross multiply
    105,127.43x = 145,073.54 × 57,381.57
  4. Step 4: Simplify right side
    105,127.43x = 8,324,547,203.75
  5. Step 5: Solve for x
    x = 8,324,547,203.75/105,127.43
  6. Step 6: Final answer
    x = 79,185.30

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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.