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Finding the Fourth Proportional to 144,466.34, 216,709.02 and 37,852.91

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Solution

The fourth proportional to 144,466.34, 216,709.02 and 37,852.91 is: 56,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,466.34 : 216,709.02 = 37,852.91 : x
  2. Step 2: Convert to fraction form
    144,466.34/216,709.02 = 37,852.91/x
  3. Step 3: Cross multiply
    144,466.34x = 216,709.02 × 37,852.91
  4. Step 4: Simplify right side
    144,466.34x = 8,203,065,757.44
  5. Step 5: Solve for x
    x = 8,203,065,757.44/144,466.34
  6. Step 6: Final answer
    x = 56,781.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.