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Finding the Fourth Proportional to 163,735, 245,680.26 and 52,927

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Solution

The fourth proportional to 163,735, 245,680.26 and 52,927 is: 79,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,735 : 245,680.26 = 52,927 : x
  2. Step 2: Convert to fraction form
    163,735/245,680.26 = 52,927/x
  3. Step 3: Cross multiply
    163,735x = 245,680.26 × 52,927
  4. Step 4: Simplify right side
    163,735x = 13,003,119,121.02
  5. Step 5: Solve for x
    x = 13,003,119,121.02/163,735
  6. Step 6: Final answer
    x = 79,415.64

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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.