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Finding the Fourth Proportional to 213,139.77, 294,132.90 and 117,646.49

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Solution

The fourth proportional to 213,139.77, 294,132.90 and 117,646.49 is: 162,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,139.77 : 294,132.90 = 117,646.49 : x
  2. Step 2: Convert to fraction form
    213,139.77/294,132.90 = 117,646.49/x
  3. Step 3: Cross multiply
    213,139.77x = 294,132.90 × 117,646.49
  4. Step 4: Simplify right side
    213,139.77x = 34,603,701,807.86
  5. Step 5: Solve for x
    x = 34,603,701,807.86/213,139.77
  6. Step 6: Final answer
    x = 162,352.16

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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.