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Finding the Fourth Proportional to 152,713, 229,073.84 and 41,905

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Solution

The fourth proportional to 152,713, 229,073.84 and 41,905 is: 62,858.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,713 : 229,073.84 = 41,905 : x
  2. Step 2: Convert to fraction form
    152,713/229,073.84 = 41,905/x
  3. Step 3: Cross multiply
    152,713x = 229,073.84 × 41,905
  4. Step 4: Simplify right side
    152,713x = 9,599,339,265.20
  5. Step 5: Solve for x
    x = 9,599,339,265.20/152,713
  6. Step 6: Final answer
    x = 62,858.69

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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.