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Finding the Fourth Proportional to 135,648, 203,477.76 and 37,152

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Solution

The fourth proportional to 135,648, 203,477.76 and 37,152 is: 55,729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 203,477.76 = 37,152 : x
  2. Step 2: Convert to fraction form
    135,648/203,477.76 = 37,152/x
  3. Step 3: Cross multiply
    135,648x = 203,477.76 × 37,152
  4. Step 4: Simplify right side
    135,648x = 7,559,605,739.52
  5. Step 5: Solve for x
    x = 7,559,605,739.52/135,648
  6. Step 6: Final answer
    x = 55,729.58

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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.