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Finding the Fourth Proportional to 123,802.51, 185,632.54 and 66,028.48

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Solution

The fourth proportional to 123,802.51, 185,632.54 and 66,028.48 is: 99,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,802.51 : 185,632.54 = 66,028.48 : x
  2. Step 2: Convert to fraction form
    123,802.51/185,632.54 = 66,028.48/x
  3. Step 3: Cross multiply
    123,802.51x = 185,632.54 × 66,028.48
  4. Step 4: Simplify right side
    123,802.51x = 12,257,034,454.74
  5. Step 5: Solve for x
    x = 12,257,034,454.74/123,802.51
  6. Step 6: Final answer
    x = 99,004.73

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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.