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Finding the Fourth Proportional to 213,135.12, 294,117.75 and 117,640.53

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Solution

The fourth proportional to 213,135.12, 294,117.75 and 117,640.53 is: 162,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,135.12 : 294,117.75 = 117,640.53 : x
  2. Step 2: Convert to fraction form
    213,135.12/294,117.75 = 117,640.53/x
  3. Step 3: Cross multiply
    213,135.12x = 294,117.75 × 117,640.53
  4. Step 4: Simplify right side
    213,135.12x = 34,600,167,992.41
  5. Step 5: Solve for x
    x = 34,600,167,992.41/213,135.12
  6. Step 6: Final answer
    x = 162,339.12

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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.