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Finding the Fourth Proportional to 224,112.96, 309,270.56 and 122,141.66

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Solution

The fourth proportional to 224,112.96, 309,270.56 and 122,141.66 is: 168,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,112.96 : 309,270.56 = 122,141.66 : x
  2. Step 2: Convert to fraction form
    224,112.96/309,270.56 = 122,141.66/x
  3. Step 3: Cross multiply
    224,112.96x = 309,270.56 × 122,141.66
  4. Step 4: Simplify right side
    224,112.96x = 37,774,817,430.47
  5. Step 5: Solve for x
    x = 37,774,817,430.47/224,112.96
  6. Step 6: Final answer
    x = 168,552.58

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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.