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Finding the Fourth Proportional to 154,830, 232,284 and 44,022

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Solution

The fourth proportional to 154,830, 232,284 and 44,022 is: 66,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,830 : 232,284 = 44,022 : x
  2. Step 2: Convert to fraction form
    154,830/232,284 = 44,022/x
  3. Step 3: Cross multiply
    154,830x = 232,284 × 44,022
  4. Step 4: Simplify right side
    154,830x = 10,225,606,248
  5. Step 5: Solve for x
    x = 10,225,606,248/154,830
  6. Step 6: Final answer
    x = 66,044.09

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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.