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Finding the Fourth Proportional to 284,228.66, 392,225.27 and 156,901.52

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Solution

The fourth proportional to 284,228.66, 392,225.27 and 156,901.52 is: 216,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,228.66 : 392,225.27 = 156,901.52 : x
  2. Step 2: Convert to fraction form
    284,228.66/392,225.27 = 156,901.52/x
  3. Step 3: Cross multiply
    284,228.66x = 392,225.27 × 156,901.52
  4. Step 4: Simplify right side
    284,228.66x = 61,540,738,299.78
  5. Step 5: Solve for x
    x = 61,540,738,299.78/284,228.66
  6. Step 6: Final answer
    x = 216,518.42

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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.