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Finding the Fourth Proportional to 135,885.58, 203,852.24 and 51,653.10

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Solution

The fourth proportional to 135,885.58, 203,852.24 and 51,653.10 is: 77,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,885.58 : 203,852.24 = 51,653.10 : x
  2. Step 2: Convert to fraction form
    135,885.58/203,852.24 = 51,653.10/x
  3. Step 3: Cross multiply
    135,885.58x = 203,852.24 × 51,653.10
  4. Step 4: Simplify right side
    135,885.58x = 10,529,600,137.94
  5. Step 5: Solve for x
    x = 10,529,600,137.94/135,885.58
  6. Step 6: Final answer
    x = 77,488.72

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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.