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Finding the Fourth Proportional to 206,411.78, 284,850.59 and 114,532.72

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Solution

The fourth proportional to 206,411.78, 284,850.59 and 114,532.72 is: 158,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,411.78 : 284,850.59 = 114,532.72 : x
  2. Step 2: Convert to fraction form
    206,411.78/284,850.59 = 114,532.72/x
  3. Step 3: Cross multiply
    206,411.78x = 284,850.59 × 114,532.72
  4. Step 4: Simplify right side
    206,411.78x = 32,624,712,225.76
  5. Step 5: Solve for x
    x = 32,624,712,225.76/206,411.78
  6. Step 6: Final answer
    x = 158,056.45

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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.