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Finding the Fourth Proportional to 216,546.04, 324,819.06 and 105,643

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Solution

The fourth proportional to 216,546.04, 324,819.06 and 105,643 is: 158,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,546.04 : 324,819.06 = 105,643 : x
  2. Step 2: Convert to fraction form
    216,546.04/324,819.06 = 105,643/x
  3. Step 3: Cross multiply
    216,546.04x = 324,819.06 × 105,643
  4. Step 4: Simplify right side
    216,546.04x = 34,314,859,955.58
  5. Step 5: Solve for x
    x = 34,314,859,955.58/216,546.04
  6. Step 6: Final answer
    x = 158,464.50

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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.