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Finding the Fourth Proportional to 213,140.27, 294,133.59 and 117,646.99

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Solution

The fourth proportional to 213,140.27, 294,133.59 and 117,646.99 is: 162,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,140.27 : 294,133.59 = 117,646.99 : x
  2. Step 2: Convert to fraction form
    213,140.27/294,133.59 = 117,646.99/x
  3. Step 3: Cross multiply
    213,140.27x = 294,133.59 × 117,646.99
  4. Step 4: Simplify right side
    213,140.27x = 34,603,931,521.39
  5. Step 5: Solve for x
    x = 34,603,931,521.39/213,140.27
  6. Step 6: Final answer
    x = 162,352.86

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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.