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Finding the Fourth Proportional to 173,620, 260,429.73 and 114,024.70

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Solution

The fourth proportional to 173,620, 260,429.73 and 114,024.70 is: 171,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,620 : 260,429.73 = 114,024.70 : x
  2. Step 2: Convert to fraction form
    173,620/260,429.73 = 114,024.70/x
  3. Step 3: Cross multiply
    173,620x = 260,429.73 × 114,024.70
  4. Step 4: Simplify right side
    173,620x = 29,695,421,834.33
  5. Step 5: Solve for x
    x = 29,695,421,834.33/173,620
  6. Step 6: Final answer
    x = 171,036.87

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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.