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Finding the Fourth Proportional to 216,089.16, 298,223.74 and 120,604.74

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Solution

The fourth proportional to 216,089.16, 298,223.74 and 120,604.74 is: 166,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,089.16 : 298,223.74 = 120,604.74 : x
  2. Step 2: Convert to fraction form
    216,089.16/298,223.74 = 120,604.74/x
  3. Step 3: Cross multiply
    216,089.16x = 298,223.74 × 120,604.74
  4. Step 4: Simplify right side
    216,089.16x = 35,967,196,624.53
  5. Step 5: Solve for x
    x = 35,967,196,624.53/216,089.16
  6. Step 6: Final answer
    x = 166,446.09

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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.