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Finding the Fourth Proportional to 103,210, 154,841.01 and 29,338

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Solution

The fourth proportional to 103,210, 154,841.01 and 29,338 is: 44,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,210 : 154,841.01 = 29,338 : x
  2. Step 2: Convert to fraction form
    103,210/154,841.01 = 29,338/x
  3. Step 3: Cross multiply
    103,210x = 154,841.01 × 29,338
  4. Step 4: Simplify right side
    103,210x = 4,542,725,551.38
  5. Step 5: Solve for x
    x = 4,542,725,551.38/103,210
  6. Step 6: Final answer
    x = 44,014.39

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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.