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Finding the Fourth Proportional to 165,722.32, 248,528.76 and 65,907.28

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Solution

The fourth proportional to 165,722.32, 248,528.76 and 65,907.28 is: 98,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,722.32 : 248,528.76 = 65,907.28 : x
  2. Step 2: Convert to fraction form
    165,722.32/248,528.76 = 65,907.28/x
  3. Step 3: Cross multiply
    165,722.32x = 248,528.76 × 65,907.28
  4. Step 4: Simplify right side
    165,722.32x = 16,379,854,573.37
  5. Step 5: Solve for x
    x = 16,379,854,573.37/165,722.32
  6. Step 6: Final answer
    x = 98,839.16

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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.