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Finding the Fourth Proportional to 216,494.04, 298,756.61 and 121,009.62

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Solution

The fourth proportional to 216,494.04, 298,756.61 and 121,009.62 is: 166,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,494.04 : 298,756.61 = 121,009.62 : x
  2. Step 2: Convert to fraction form
    216,494.04/298,756.61 = 121,009.62/x
  3. Step 3: Cross multiply
    216,494.04x = 298,756.61 × 121,009.62
  4. Step 4: Simplify right side
    216,494.04x = 36,152,423,243.54
  5. Step 5: Solve for x
    x = 36,152,423,243.54/216,494.04
  6. Step 6: Final answer
    x = 166,990.39

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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.