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Finding the Fourth Proportional to 213,167.68, 294,172.12 and 117,674.16

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Solution

The fourth proportional to 213,167.68, 294,172.12 and 117,674.16 is: 162,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,167.68 : 294,172.12 = 117,674.16 : x
  2. Step 2: Convert to fraction form
    213,167.68/294,172.12 = 117,674.16/x
  3. Step 3: Cross multiply
    213,167.68x = 294,172.12 × 117,674.16
  4. Step 4: Simplify right side
    213,167.68x = 34,616,457,116.42
  5. Step 5: Solve for x
    x = 34,616,457,116.42/213,167.68
  6. Step 6: Final answer
    x = 162,390.74

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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.