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Finding the Fourth Proportional to 224,937.64, 310,403.22 and 122,968.36

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Solution

The fourth proportional to 224,937.64, 310,403.22 and 122,968.36 is: 169,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,937.64 : 310,403.22 = 122,968.36 : x
  2. Step 2: Convert to fraction form
    224,937.64/310,403.22 = 122,968.36/x
  3. Step 3: Cross multiply
    224,937.64x = 310,403.22 × 122,968.36
  4. Step 4: Simplify right side
    224,937.64x = 38,169,774,902.12
  5. Step 5: Solve for x
    x = 38,169,774,902.12/224,937.64
  6. Step 6: Final answer
    x = 169,690.47

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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.