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Finding the Fourth Proportional to 223,165.68, 307,815.75 and 142,557.39

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Solution

The fourth proportional to 223,165.68, 307,815.75 and 142,557.39 is: 196,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,165.68 : 307,815.75 = 142,557.39 : x
  2. Step 2: Convert to fraction form
    223,165.68/307,815.75 = 142,557.39/x
  3. Step 3: Cross multiply
    223,165.68x = 307,815.75 × 142,557.39
  4. Step 4: Simplify right side
    223,165.68x = 43,881,409,920.89
  5. Step 5: Solve for x
    x = 43,881,409,920.89/223,165.68
  6. Step 6: Final answer
    x = 196,631.53

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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.