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Finding the Fourth Proportional to 146,645.70, 219,970.17 and 46,805.10

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Solution

The fourth proportional to 146,645.70, 219,970.17 and 46,805.10 is: 70,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,645.70 : 219,970.17 = 46,805.10 : x
  2. Step 2: Convert to fraction form
    146,645.70/219,970.17 = 46,805.10/x
  3. Step 3: Cross multiply
    146,645.70x = 219,970.17 × 46,805.10
  4. Step 4: Simplify right side
    146,645.70x = 10,295,725,803.87
  5. Step 5: Solve for x
    x = 10,295,725,803.87/146,645.70
  6. Step 6: Final answer
    x = 70,208.17

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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.