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Finding the Fourth Proportional to 146,184, 219,277.08 and 35,376

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Solution

The fourth proportional to 146,184, 219,277.08 and 35,376 is: 53,064.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,184 : 219,277.08 = 35,376 : x
  2. Step 2: Convert to fraction form
    146,184/219,277.08 = 35,376/x
  3. Step 3: Cross multiply
    146,184x = 219,277.08 × 35,376
  4. Step 4: Simplify right side
    146,184x = 7,757,145,982.08
  5. Step 5: Solve for x
    x = 7,757,145,982.08/146,184
  6. Step 6: Final answer
    x = 53,064.26

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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.