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Finding the Fourth Proportional to 213,438.20, 294,567.54 and 122,798.12

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Solution

The fourth proportional to 213,438.20, 294,567.54 and 122,798.12 is: 169,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,438.20 : 294,567.54 = 122,798.12 : x
  2. Step 2: Convert to fraction form
    213,438.20/294,567.54 = 122,798.12/x
  3. Step 3: Cross multiply
    213,438.20x = 294,567.54 × 122,798.12
  4. Step 4: Simplify right side
    213,438.20x = 36,172,340,125.02
  5. Step 5: Solve for x
    x = 36,172,340,125.02/213,438.20
  6. Step 6: Final answer
    x = 169,474.54

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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.