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Finding the Fourth Proportional to 224,573.32, 309,903.06 and 123,969.16

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Solution

The fourth proportional to 224,573.32, 309,903.06 and 123,969.16 is: 171,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,573.32 : 309,903.06 = 123,969.16 : x
  2. Step 2: Convert to fraction form
    224,573.32/309,903.06 = 123,969.16/x
  3. Step 3: Cross multiply
    224,573.32x = 309,903.06 × 123,969.16
  4. Step 4: Simplify right side
    224,573.32x = 38,418,422,029.63
  5. Step 5: Solve for x
    x = 38,418,422,029.63/224,573.32
  6. Step 6: Final answer
    x = 171,072.96

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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.