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Finding the Fourth Proportional to 213,106.64, 294,085.16 and 117,611.29

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Solution

The fourth proportional to 213,106.64, 294,085.16 and 117,611.29 is: 162,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,106.64 : 294,085.16 = 117,611.29 : x
  2. Step 2: Convert to fraction form
    213,106.64/294,085.16 = 117,611.29/x
  3. Step 3: Cross multiply
    213,106.64x = 294,085.16 × 117,611.29
  4. Step 4: Simplify right side
    213,106.64x = 34,587,733,567.03
  5. Step 5: Solve for x
    x = 34,587,733,567.03/213,106.64
  6. Step 6: Final answer
    x = 162,302.47

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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.