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Finding the Fourth Proportional to 284,157.97, 392,136.06 and 156,833.58

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Solution

The fourth proportional to 284,157.97, 392,136.06 and 156,833.58 is: 216,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,157.97 : 392,136.06 = 156,833.58 : x
  2. Step 2: Convert to fraction form
    284,157.97/392,136.06 = 156,833.58/x
  3. Step 3: Cross multiply
    284,157.97x = 392,136.06 × 156,833.58
  4. Step 4: Simplify right side
    284,157.97x = 61,500,102,136.89
  5. Step 5: Solve for x
    x = 61,500,102,136.89/284,157.97
  6. Step 6: Final answer
    x = 216,429.27

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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.