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Finding the Fourth Proportional to 224,476.88, 309,779.90 and 122,503.14

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Solution

The fourth proportional to 224,476.88, 309,779.90 and 122,503.14 is: 169,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,476.88 : 309,779.90 = 122,503.14 : x
  2. Step 2: Convert to fraction form
    224,476.88/309,779.90 = 122,503.14/x
  3. Step 3: Cross multiply
    224,476.88x = 309,779.90 × 122,503.14
  4. Step 4: Simplify right side
    224,476.88x = 37,949,009,846.37
  5. Step 5: Solve for x
    x = 37,949,009,846.37/224,476.88
  6. Step 6: Final answer
    x = 169,055.32

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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.