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Finding the Fourth Proportional to 194,125.80, 291,230.10 and 109,925.40

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Solution

The fourth proportional to 194,125.80, 291,230.10 and 109,925.40 is: 164,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,125.80 : 291,230.10 = 109,925.40 : x
  2. Step 2: Convert to fraction form
    194,125.80/291,230.10 = 109,925.40/x
  3. Step 3: Cross multiply
    194,125.80x = 291,230.10 × 109,925.40
  4. Step 4: Simplify right side
    194,125.80x = 32,013,585,234.54
  5. Step 5: Solve for x
    x = 32,013,585,234.54/194,125.80
  6. Step 6: Final answer
    x = 164,911.54

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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.