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Finding the Fourth Proportional to 216,902.61, 299,325.55 and 121,409.33

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Solution

The fourth proportional to 216,902.61, 299,325.55 and 121,409.33 is: 167,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,902.61 : 299,325.55 = 121,409.33 : x
  2. Step 2: Convert to fraction form
    216,902.61/299,325.55 = 121,409.33/x
  3. Step 3: Cross multiply
    216,902.61x = 299,325.55 × 121,409.33
  4. Step 4: Simplify right side
    216,902.61x = 36,340,914,477.38
  5. Step 5: Solve for x
    x = 36,340,914,477.38/216,902.61
  6. Step 6: Final answer
    x = 167,544.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.