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Finding the Fourth Proportional to 213,733, 295,069.26 and 159,998.68

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Solution

The fourth proportional to 213,733, 295,069.26 and 159,998.68 is: 220,886.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,733 : 295,069.26 = 159,998.68 : x
  2. Step 2: Convert to fraction form
    213,733/295,069.26 = 159,998.68/x
  3. Step 3: Cross multiply
    213,733x = 295,069.26 × 159,998.68
  4. Step 4: Simplify right side
    213,733x = 47,210,692,108.58
  5. Step 5: Solve for x
    x = 47,210,692,108.58/213,733
  6. Step 6: Final answer
    x = 220,886.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.