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Finding the Fourth Proportional to 146,364, 219,546.54 and 35,556

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Solution

The fourth proportional to 146,364, 219,546.54 and 35,556 is: 53,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,364 : 219,546.54 = 35,556 : x
  2. Step 2: Convert to fraction form
    146,364/219,546.54 = 35,556/x
  3. Step 3: Cross multiply
    146,364x = 219,546.54 × 35,556
  4. Step 4: Simplify right side
    146,364x = 7,806,196,776.24
  5. Step 5: Solve for x
    x = 7,806,196,776.24/146,364
  6. Step 6: Final answer
    x = 53,334.13

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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.