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Finding the Fourth Proportional to 194,635.60, 291,953.40 and 69,989.20

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Solution

The fourth proportional to 194,635.60, 291,953.40 and 69,989.20 is: 104,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,635.60 : 291,953.40 = 69,989.20 : x
  2. Step 2: Convert to fraction form
    194,635.60/291,953.40 = 69,989.20/x
  3. Step 3: Cross multiply
    194,635.60x = 291,953.40 × 69,989.20
  4. Step 4: Simplify right side
    194,635.60x = 20,433,584,903.28
  5. Step 5: Solve for x
    x = 20,433,584,903.28/194,635.60
  6. Step 6: Final answer
    x = 104,983.80

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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.