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Finding the Fourth Proportional to 130,874.58, 196,309.71 and 32,378.58

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Solution

The fourth proportional to 130,874.58, 196,309.71 and 32,378.58 is: 48,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,874.58 : 196,309.71 = 32,378.58 : x
  2. Step 2: Convert to fraction form
    130,874.58/196,309.71 = 32,378.58/x
  3. Step 3: Cross multiply
    130,874.58x = 196,309.71 × 32,378.58
  4. Step 4: Simplify right side
    130,874.58x = 6,356,229,650.01
  5. Step 5: Solve for x
    x = 6,356,229,650.01/130,874.58
  6. Step 6: Final answer
    x = 48,567.34

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1.5x scale

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.