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Finding the Fourth Proportional to 123,802.63, 185,716.24 and 44,923.01

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Solution

The fourth proportional to 123,802.63, 185,716.24 and 44,923.01 is: 67,388.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.63 : 185,716.24 = 44,923.01 : x
  2. Step 2: Convert to fraction form
    123,802.63/185,716.24 = 44,923.01/x
  3. Step 3: Cross multiply
    123,802.63x = 185,716.24 × 44,923.01
  4. Step 4: Simplify right side
    123,802.63x = 8,342,931,718.49
  5. Step 5: Solve for x
    x = 8,342,931,718.49/123,802.63
  6. Step 6: Final answer
    x = 67,388.97

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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.