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Finding the Fourth Proportional to 213,062.45, 294,017.58 and 117,567.90

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Solution

The fourth proportional to 213,062.45, 294,017.58 and 117,567.90 is: 162,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,062.45 : 294,017.58 = 117,567.90 : x
  2. Step 2: Convert to fraction form
    213,062.45/294,017.58 = 117,567.90/x
  3. Step 3: Cross multiply
    213,062.45x = 294,017.58 × 117,567.90
  4. Step 4: Simplify right side
    213,062.45x = 34,567,029,443.68
  5. Step 5: Solve for x
    x = 34,567,029,443.68/213,062.45
  6. Step 6: Final answer
    x = 162,238.96

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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.