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Finding the Fourth Proportional to 224,110.83, 309,272.94 and 123,508.83

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Solution

The fourth proportional to 224,110.83, 309,272.94 and 123,508.83 is: 170,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,110.83 : 309,272.94 = 123,508.83 : x
  2. Step 2: Convert to fraction form
    224,110.83/309,272.94 = 123,508.83/x
  3. Step 3: Cross multiply
    224,110.83x = 309,272.94 × 123,508.83
  4. Step 4: Simplify right side
    224,110.83x = 38,197,938,970.06
  5. Step 5: Solve for x
    x = 38,197,938,970.06/224,110.83
  6. Step 6: Final answer
    x = 170,442.18

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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.