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Finding the Fourth Proportional to 105,154.57, 145,115.40 and 57,408.10

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Solution

The fourth proportional to 105,154.57, 145,115.40 and 57,408.10 is: 79,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,154.57 : 145,115.40 = 57,408.10 : x
  2. Step 2: Convert to fraction form
    105,154.57/145,115.40 = 57,408.10/x
  3. Step 3: Cross multiply
    105,154.57x = 145,115.40 × 57,408.10
  4. Step 4: Simplify right side
    105,154.57x = 8,330,799,394.74
  5. Step 5: Solve for x
    x = 8,330,799,394.74/105,154.57
  6. Step 6: Final answer
    x = 79,224.32

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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.