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Finding the Fourth Proportional to 216,006.32, 323,722.74 and 114,783.06

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Solution

The fourth proportional to 216,006.32, 323,722.74 and 114,783.06 is: 172,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,006.32 : 323,722.74 = 114,783.06 : x
  2. Step 2: Convert to fraction form
    216,006.32/323,722.74 = 114,783.06/x
  3. Step 3: Cross multiply
    216,006.32x = 323,722.74 × 114,783.06
  4. Step 4: Simplify right side
    216,006.32x = 37,157,886,688.78
  5. Step 5: Solve for x
    x = 37,157,886,688.78/216,006.32
  6. Step 6: Final answer
    x = 172,022.22

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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.