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Finding the Fourth Proportional to 130,956.80, 196,442.22 and 37,464.80

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Solution

The fourth proportional to 130,956.80, 196,442.22 and 37,464.80 is: 56,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,956.80 : 196,442.22 = 37,464.80 : x
  2. Step 2: Convert to fraction form
    130,956.80/196,442.22 = 37,464.80/x
  3. Step 3: Cross multiply
    130,956.80x = 196,442.22 × 37,464.80
  4. Step 4: Simplify right side
    130,956.80x = 7,359,668,483.86
  5. Step 5: Solve for x
    x = 7,359,668,483.86/130,956.80
  6. Step 6: Final answer
    x = 56,199.21

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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.