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Finding the Fourth Proportional to 194,421.84, 291,623.04 and 76,114.86

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Solution

The fourth proportional to 194,421.84, 291,623.04 and 76,114.86 is: 114,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,421.84 : 291,623.04 = 76,114.86 : x
  2. Step 2: Convert to fraction form
    194,421.84/291,623.04 = 76,114.86/x
  3. Step 3: Cross multiply
    194,421.84x = 291,623.04 × 76,114.86
  4. Step 4: Simplify right side
    194,421.84x = 22,196,846,862.37
  5. Step 5: Solve for x
    x = 22,196,846,862.37/194,421.84
  6. Step 6: Final answer
    x = 114,168.48

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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.