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Finding the Fourth Proportional to 130,975.20, 196,462.80 and 37,468.80

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Solution

The fourth proportional to 130,975.20, 196,462.80 and 37,468.80 is: 56,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,975.20 : 196,462.80 = 37,468.80 : x
  2. Step 2: Convert to fraction form
    130,975.20/196,462.80 = 37,468.80/x
  3. Step 3: Cross multiply
    130,975.20x = 196,462.80 × 37,468.80
  4. Step 4: Simplify right side
    130,975.20x = 7,361,225,360.64
  5. Step 5: Solve for x
    x = 7,361,225,360.64/130,975.20
  6. Step 6: Final answer
    x = 56,203.20

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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.