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Finding the Fourth Proportional to 103,133, 154,725.42 and 29,261

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Solution

The fourth proportional to 103,133, 154,725.42 and 29,261 is: 43,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,133 : 154,725.42 = 29,261 : x
  2. Step 2: Convert to fraction form
    103,133/154,725.42 = 29,261/x
  3. Step 3: Cross multiply
    103,133x = 154,725.42 × 29,261
  4. Step 4: Simplify right side
    103,133x = 4,527,420,514.62
  5. Step 5: Solve for x
    x = 4,527,420,514.62/103,133
  6. Step 6: Final answer
    x = 43,898.85

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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.