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Finding the Fourth Proportional to 130,709, 196,063.50 and 32,213

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Solution

The fourth proportional to 130,709, 196,063.50 and 32,213 is: 48,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,709 : 196,063.50 = 32,213 : x
  2. Step 2: Convert to fraction form
    130,709/196,063.50 = 32,213/x
  3. Step 3: Cross multiply
    130,709x = 196,063.50 × 32,213
  4. Step 4: Simplify right side
    130,709x = 6,315,793,525.50
  5. Step 5: Solve for x
    x = 6,315,793,525.50/130,709
  6. Step 6: Final answer
    x = 48,319.50

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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.