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Finding the Fourth Proportional to 101,568, 152,352 and 43,200

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Solution

The fourth proportional to 101,568, 152,352 and 43,200 is: 64,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,568 : 152,352 = 43,200 : x
  2. Step 2: Convert to fraction form
    101,568/152,352 = 43,200/x
  3. Step 3: Cross multiply
    101,568x = 152,352 × 43,200
  4. Step 4: Simplify right side
    101,568x = 6,581,606,400
  5. Step 5: Solve for x
    x = 6,581,606,400/101,568
  6. Step 6: Final answer
    x = 64,800

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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.