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Finding the Fourth Proportional to 113,333.70, 170,037.51 and 54,174

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Solution

The fourth proportional to 113,333.70, 170,037.51 and 54,174 is: 81,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,333.70 : 170,037.51 = 54,174 : x
  2. Step 2: Convert to fraction form
    113,333.70/170,037.51 = 54,174/x
  3. Step 3: Cross multiply
    113,333.70x = 170,037.51 × 54,174
  4. Step 4: Simplify right side
    113,333.70x = 9,211,612,066.74
  5. Step 5: Solve for x
    x = 9,211,612,066.74/113,333.70
  6. Step 6: Final answer
    x = 81,278.67

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Why These Related Problems?

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