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Finding the Fourth Proportional to 284,231.74, 392,237.39 and 156,904.60

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Solution

The fourth proportional to 284,231.74, 392,237.39 and 156,904.60 is: 216,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,231.74 : 392,237.39 = 156,904.60 : x
  2. Step 2: Convert to fraction form
    284,231.74/392,237.39 = 156,904.60/x
  3. Step 3: Cross multiply
    284,231.74x = 392,237.39 × 156,904.60
  4. Step 4: Simplify right side
    284,231.74x = 61,543,850,782.99
  5. Step 5: Solve for x
    x = 61,543,850,782.99/284,231.74
  6. Step 6: Final answer
    x = 216,527.02

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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.