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Finding the Fourth Proportional to 102,140.69, 153,281.50 and 35,581.37

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Solution

The fourth proportional to 102,140.69, 153,281.50 and 35,581.37 is: 53,396.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,140.69 : 153,281.50 = 35,581.37 : x
  2. Step 2: Convert to fraction form
    102,140.69/153,281.50 = 35,581.37/x
  3. Step 3: Cross multiply
    102,140.69x = 153,281.50 × 35,581.37
  4. Step 4: Simplify right side
    102,140.69x = 5,453,965,765.66
  5. Step 5: Solve for x
    x = 5,453,965,765.66/102,140.69
  6. Step 6: Final answer
    x = 53,396.60

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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.