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Finding the Fourth Proportional to 213,449.46, 294,548.65 and 117,950

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Solution

The fourth proportional to 213,449.46, 294,548.65 and 117,950 is: 162,764.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,449.46 : 294,548.65 = 117,950 : x
  2. Step 2: Convert to fraction form
    213,449.46/294,548.65 = 117,950/x
  3. Step 3: Cross multiply
    213,449.46x = 294,548.65 × 117,950
  4. Step 4: Simplify right side
    213,449.46x = 34,742,013,267.50
  5. Step 5: Solve for x
    x = 34,742,013,267.50/213,449.46
  6. Step 6: Final answer
    x = 162,764.59

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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.