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Finding the Fourth Proportional to 213,253.15, 294,287.47 and 117,760.63

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Solution

The fourth proportional to 213,253.15, 294,287.47 and 117,760.63 is: 162,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,253.15 : 294,287.47 = 117,760.63 : x
  2. Step 2: Convert to fraction form
    213,253.15/294,287.47 = 117,760.63/x
  3. Step 3: Cross multiply
    213,253.15x = 294,287.47 × 117,760.63
  4. Step 4: Simplify right side
    213,253.15x = 34,655,477,868.31
  5. Step 5: Solve for x
    x = 34,655,477,868.31/213,253.15
  6. Step 6: Final answer
    x = 162,508.63

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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.