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Finding the Fourth Proportional to 213,158.65, 294,157.29 and 117,665.32

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Solution

The fourth proportional to 213,158.65, 294,157.29 and 117,665.32 is: 162,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,158.65 : 294,157.29 = 117,665.32 : x
  2. Step 2: Convert to fraction form
    213,158.65/294,157.29 = 117,665.32/x
  3. Step 3: Cross multiply
    213,158.65x = 294,157.29 × 117,665.32
  4. Step 4: Simplify right side
    213,158.65x = 34,612,111,658.18
  5. Step 5: Solve for x
    x = 34,612,111,658.18/213,158.65
  6. Step 6: Final answer
    x = 162,377.23

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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.