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Finding the Fourth Proportional to 219,447.87, 302,754.59 and 162,224.58

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Solution

The fourth proportional to 219,447.87, 302,754.59 and 162,224.58 is: 223,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,447.87 : 302,754.59 = 162,224.58 : x
  2. Step 2: Convert to fraction form
    219,447.87/302,754.59 = 162,224.58/x
  3. Step 3: Cross multiply
    219,447.87x = 302,754.59 × 162,224.58
  4. Step 4: Simplify right side
    219,447.87x = 49,114,236,205.82
  5. Step 5: Solve for x
    x = 49,114,236,205.82/219,447.87
  6. Step 6: Final answer
    x = 223,808.22

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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.