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Finding the Fourth Proportional to 216,443.90, 298,691.88 and 120,950.58

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Solution

The fourth proportional to 216,443.90, 298,691.88 and 120,950.58 is: 166,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,443.90 : 298,691.88 = 120,950.58 : x
  2. Step 2: Convert to fraction form
    216,443.90/298,691.88 = 120,950.58/x
  3. Step 3: Cross multiply
    216,443.90x = 298,691.88 × 120,950.58
  4. Step 4: Simplify right side
    216,443.90x = 36,126,956,127.29
  5. Step 5: Solve for x
    x = 36,126,956,127.29/216,443.90
  6. Step 6: Final answer
    x = 166,911.41

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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.