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Finding the Fourth Proportional to 213,355.36, 294,428.64 and 117,860.05

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Solution

The fourth proportional to 213,355.36, 294,428.64 and 117,860.05 is: 162,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,355.36 : 294,428.64 = 117,860.05 : x
  2. Step 2: Convert to fraction form
    213,355.36/294,428.64 = 117,860.05/x
  3. Step 3: Cross multiply
    213,355.36x = 294,428.64 × 117,860.05
  4. Step 4: Simplify right side
    213,355.36x = 34,701,374,231.83
  5. Step 5: Solve for x
    x = 34,701,374,231.83/213,355.36
  6. Step 6: Final answer
    x = 162,645.90

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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.