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Finding the Fourth Proportional to 113,193.70, 169,815.05 and 34,313.87

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Solution

The fourth proportional to 113,193.70, 169,815.05 and 34,313.87 is: 51,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,193.70 : 169,815.05 = 34,313.87 : x
  2. Step 2: Convert to fraction form
    113,193.70/169,815.05 = 34,313.87/x
  3. Step 3: Cross multiply
    113,193.70x = 169,815.05 × 34,313.87
  4. Step 4: Simplify right side
    113,193.70x = 5,827,011,802.71
  5. Step 5: Solve for x
    x = 5,827,011,802.71/113,193.70
  6. Step 6: Final answer
    x = 51,478.24

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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.