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Finding the Fourth Proportional to 130,709.60, 196,071.84 and 37,208

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Solution

The fourth proportional to 130,709.60, 196,071.84 and 37,208 is: 55,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,709.60 : 196,071.84 = 37,208 : x
  2. Step 2: Convert to fraction form
    130,709.60/196,071.84 = 37,208/x
  3. Step 3: Cross multiply
    130,709.60x = 196,071.84 × 37,208
  4. Step 4: Simplify right side
    130,709.60x = 7,295,441,022.72
  5. Step 5: Solve for x
    x = 7,295,441,022.72/130,709.60
  6. Step 6: Final answer
    x = 55,814.12

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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.