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Finding the Fourth Proportional to 216,196.20, 323,516.70 and 146,212.20

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Solution

The fourth proportional to 216,196.20, 323,516.70 and 146,212.20 is: 218,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,196.20 : 323,516.70 = 146,212.20 : x
  2. Step 2: Convert to fraction form
    216,196.20/323,516.70 = 146,212.20/x
  3. Step 3: Cross multiply
    216,196.20x = 323,516.70 × 146,212.20
  4. Step 4: Simplify right side
    216,196.20x = 47,302,088,443.74
  5. Step 5: Solve for x
    x = 47,302,088,443.74/216,196.20
  6. Step 6: Final answer
    x = 218,792.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.