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Finding the Fourth Proportional to 224,382, 309,653.01 and 122,409.12

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Solution

The fourth proportional to 224,382, 309,653.01 and 122,409.12 is: 168,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,382 : 309,653.01 = 122,409.12 : x
  2. Step 2: Convert to fraction form
    224,382/309,653.01 = 122,409.12/x
  3. Step 3: Cross multiply
    224,382x = 309,653.01 × 122,409.12
  4. Step 4: Simplify right side
    224,382x = 37,904,352,459.45
  5. Step 5: Solve for x
    x = 37,904,352,459.45/224,382
  6. Step 6: Final answer
    x = 168,927.78

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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.