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Finding the Fourth Proportional to 284,940.30, 427,410.45 and 118,706.70

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Solution

The fourth proportional to 284,940.30, 427,410.45 and 118,706.70 is: 178,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,940.30 : 427,410.45 = 118,706.70 : x
  2. Step 2: Convert to fraction form
    284,940.30/427,410.45 = 118,706.70/x
  3. Step 3: Cross multiply
    284,940.30x = 427,410.45 × 118,706.70
  4. Step 4: Simplify right side
    284,940.30x = 50,736,484,065.02
  5. Step 5: Solve for x
    x = 50,736,484,065.02/284,940.30
  6. Step 6: Final answer
    x = 178,060.05

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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.