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Finding the Fourth Proportional to 213,328.08, 294,392.88 and 117,838.80

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Solution

The fourth proportional to 213,328.08, 294,392.88 and 117,838.80 is: 162,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,328.08 : 294,392.88 = 117,838.80 : x
  2. Step 2: Convert to fraction form
    213,328.08/294,392.88 = 117,838.80/x
  3. Step 3: Cross multiply
    213,328.08x = 294,392.88 × 117,838.80
  4. Step 4: Simplify right side
    213,328.08x = 34,690,903,707.74
  5. Step 5: Solve for x
    x = 34,690,903,707.74/213,328.08
  6. Step 6: Final answer
    x = 162,617.62

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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.