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Finding the Fourth Proportional to 105,764.67, 145,977.26 and 97,253.33

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Solution

The fourth proportional to 105,764.67, 145,977.26 and 97,253.33 is: 134,229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,764.67 : 145,977.26 = 97,253.33 : x
  2. Step 2: Convert to fraction form
    105,764.67/145,977.26 = 97,253.33/x
  3. Step 3: Cross multiply
    105,764.67x = 145,977.26 × 97,253.33
  4. Step 4: Simplify right side
    105,764.67x = 14,196,773,423.12
  5. Step 5: Solve for x
    x = 14,196,773,423.12/105,764.67
  6. Step 6: Final answer
    x = 134,229.83

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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.