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Finding the Fourth Proportional to 123,162.54, 184,743.81 and 70,535.22

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Solution

The fourth proportional to 123,162.54, 184,743.81 and 70,535.22 is: 105,802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,162.54 : 184,743.81 = 70,535.22 : x
  2. Step 2: Convert to fraction form
    123,162.54/184,743.81 = 70,535.22/x
  3. Step 3: Cross multiply
    123,162.54x = 184,743.81 × 70,535.22
  4. Step 4: Simplify right side
    123,162.54x = 13,030,945,281.99
  5. Step 5: Solve for x
    x = 13,030,945,281.99/123,162.54
  6. Step 6: Final answer
    x = 105,802.83

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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.