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Finding the Fourth Proportional to 85,443.34, 128,296.50 and 76,170.46

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Solution

The fourth proportional to 85,443.34, 128,296.50 and 76,170.46 is: 114,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,443.34 : 128,296.50 = 76,170.46 : x
  2. Step 2: Convert to fraction form
    85,443.34/128,296.50 = 76,170.46/x
  3. Step 3: Cross multiply
    85,443.34x = 128,296.50 × 76,170.46
  4. Step 4: Simplify right side
    85,443.34x = 9,772,403,421.39
  5. Step 5: Solve for x
    x = 9,772,403,421.39/85,443.34
  6. Step 6: Final answer
    x = 114,372.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.