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Finding the Fourth Proportional to 224,102.68, 309,261.76 and 122,128.18

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Solution

The fourth proportional to 224,102.68, 309,261.76 and 122,128.18 is: 168,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,102.68 : 309,261.76 = 122,128.18 : x
  2. Step 2: Convert to fraction form
    224,102.68/309,261.76 = 122,128.18/x
  3. Step 3: Cross multiply
    224,102.68x = 309,261.76 × 122,128.18
  4. Step 4: Simplify right side
    224,102.68x = 37,769,575,892.40
  5. Step 5: Solve for x
    x = 37,769,575,892.40/224,102.68
  6. Step 6: Final answer
    x = 168,536.92

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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.