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Finding the Fourth Proportional to 213,446.47, 294,567.47 and 122,816.20

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Solution

The fourth proportional to 213,446.47, 294,567.47 and 122,816.20 is: 169,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,446.47 : 294,567.47 = 122,816.20 : x
  2. Step 2: Convert to fraction form
    213,446.47/294,567.47 = 122,816.20/x
  3. Step 3: Cross multiply
    213,446.47x = 294,567.47 × 122,816.20
  4. Step 4: Simplify right side
    213,446.47x = 36,177,657,309.01
  5. Step 5: Solve for x
    x = 36,177,657,309.01/213,446.47
  6. Step 6: Final answer
    x = 169,492.88

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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.