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Finding the Fourth Proportional to 213,149.37, 294,148.59 and 117,656.16

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Solution

The fourth proportional to 213,149.37, 294,148.59 and 117,656.16 is: 162,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,149.37 : 294,148.59 = 117,656.16 : x
  2. Step 2: Convert to fraction form
    213,149.37/294,148.59 = 117,656.16/x
  3. Step 3: Cross multiply
    213,149.37x = 294,148.59 × 117,656.16
  4. Step 4: Simplify right side
    213,149.37x = 34,608,393,568.81
  5. Step 5: Solve for x
    x = 34,608,393,568.81/213,149.37
  6. Step 6: Final answer
    x = 162,366.86

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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.