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Finding the Fourth Proportional to 194,689.12, 291,989.64 and 89,406.88

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Solution

The fourth proportional to 194,689.12, 291,989.64 and 89,406.88 is: 134,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,689.12 : 291,989.64 = 89,406.88 : x
  2. Step 2: Convert to fraction form
    194,689.12/291,989.64 = 89,406.88/x
  3. Step 3: Cross multiply
    194,689.12x = 291,989.64 × 89,406.88
  4. Step 4: Simplify right side
    194,689.12x = 26,105,882,704.72
  5. Step 5: Solve for x
    x = 26,105,882,704.72/194,689.12
  6. Step 6: Final answer
    x = 134,090.10

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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.