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Finding the Fourth Proportional to 284,111.94, 392,064.19 and 156,784.80

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Solution

The fourth proportional to 284,111.94, 392,064.19 and 156,784.80 is: 216,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,111.94 : 392,064.19 = 156,784.80 : x
  2. Step 2: Convert to fraction form
    284,111.94/392,064.19 = 156,784.80/x
  3. Step 3: Cross multiply
    284,111.94x = 392,064.19 × 156,784.80
  4. Step 4: Simplify right side
    284,111.94x = 61,469,705,616.31
  5. Step 5: Solve for x
    x = 61,469,705,616.31/284,111.94
  6. Step 6: Final answer
    x = 216,357.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.