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Finding the Fourth Proportional to 224,143.13, 309,314.80 and 122,168.28

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Solution

The fourth proportional to 224,143.13, 309,314.80 and 122,168.28 is: 168,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,143.13 : 309,314.80 = 122,168.28 : x
  2. Step 2: Convert to fraction form
    224,143.13/309,314.80 = 122,168.28/x
  3. Step 3: Cross multiply
    224,143.13x = 309,314.80 × 122,168.28
  4. Step 4: Simplify right side
    224,143.13x = 37,788,455,242.55
  5. Step 5: Solve for x
    x = 37,788,455,242.55/224,143.13
  6. Step 6: Final answer
    x = 168,590.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.