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Finding the Fourth Proportional to 312,192.93, 468,099.75 and 122,425.95

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Solution

The fourth proportional to 312,192.93, 468,099.75 and 122,425.95 is: 183,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,192.93 : 468,099.75 = 122,425.95 : x
  2. Step 2: Convert to fraction form
    312,192.93/468,099.75 = 122,425.95/x
  3. Step 3: Cross multiply
    312,192.93x = 468,099.75 × 122,425.95
  4. Step 4: Simplify right side
    312,192.93x = 57,307,556,588.51
  5. Step 5: Solve for x
    x = 57,307,556,588.51/312,192.93
  6. Step 6: Final answer
    x = 183,564.56

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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.