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Finding the Fourth Proportional to 174,704.70, 262,057.05 and 146,711.10

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Solution

The fourth proportional to 174,704.70, 262,057.05 and 146,711.10 is: 220,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,704.70 : 262,057.05 = 146,711.10 : x
  2. Step 2: Convert to fraction form
    174,704.70/262,057.05 = 146,711.10/x
  3. Step 3: Cross multiply
    174,704.70x = 262,057.05 × 146,711.10
  4. Step 4: Simplify right side
    174,704.70x = 38,446,678,068.26
  5. Step 5: Solve for x
    x = 38,446,678,068.26/174,704.70
  6. Step 6: Final answer
    x = 220,066.65

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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.