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Finding the Fourth Proportional to 213,102.45, 294,072.78 and 117,607.90

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Solution

The fourth proportional to 213,102.45, 294,072.78 and 117,607.90 is: 162,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,102.45 : 294,072.78 = 117,607.90 : x
  2. Step 2: Convert to fraction form
    213,102.45/294,072.78 = 117,607.90/x
  3. Step 3: Cross multiply
    213,102.45x = 294,072.78 × 117,607.90
  4. Step 4: Simplify right side
    213,102.45x = 34,585,282,102.96
  5. Step 5: Solve for x
    x = 34,585,282,102.96/213,102.45
  6. Step 6: Final answer
    x = 162,294.16

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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.