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Finding the Fourth Proportional to 224,465.93, 309,769.58 and 122,497.98

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Solution

The fourth proportional to 224,465.93, 309,769.58 and 122,497.98 is: 169,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,465.93 : 309,769.58 = 122,497.98 : x
  2. Step 2: Convert to fraction form
    224,465.93/309,769.58 = 122,497.98/x
  3. Step 3: Cross multiply
    224,465.93x = 309,769.58 × 122,497.98
  4. Step 4: Simplify right side
    224,465.93x = 37,946,148,121.69
  5. Step 5: Solve for x
    x = 37,946,148,121.69/224,465.93
  6. Step 6: Final answer
    x = 169,050.81

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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.