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Finding the Fourth Proportional to 223,825.68, 308,878.44 and 123,223.60

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Solution

The fourth proportional to 223,825.68, 308,878.44 and 123,223.60 is: 170,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,825.68 : 308,878.44 = 123,223.60 : x
  2. Step 2: Convert to fraction form
    223,825.68/308,878.44 = 123,223.60/x
  3. Step 3: Cross multiply
    223,825.68x = 308,878.44 × 123,223.60
  4. Step 4: Simplify right side
    223,825.68x = 38,061,113,339.18
  5. Step 5: Solve for x
    x = 38,061,113,339.18/223,825.68
  6. Step 6: Final answer
    x = 170,048.02

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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.