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Finding the Fourth Proportional to 284,223.82, 392,228.94 and 156,899.50

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Solution

The fourth proportional to 284,223.82, 392,228.94 and 156,899.50 is: 216,521.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,223.82 : 392,228.94 = 156,899.50 : x
  2. Step 2: Convert to fraction form
    284,223.82/392,228.94 = 156,899.50/x
  3. Step 3: Cross multiply
    284,223.82x = 392,228.94 × 156,899.50
  4. Step 4: Simplify right side
    284,223.82x = 61,540,524,571.53
  5. Step 5: Solve for x
    x = 61,540,524,571.53/284,223.82
  6. Step 6: Final answer
    x = 216,521.35

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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.