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Finding the Fourth Proportional to 213,203.64, 294,221.46 and 117,710.52

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Solution

The fourth proportional to 213,203.64, 294,221.46 and 117,710.52 is: 162,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203.64 : 294,221.46 = 117,710.52 : x
  2. Step 2: Convert to fraction form
    213,203.64/294,221.46 = 117,710.52/x
  3. Step 3: Cross multiply
    213,203.64x = 294,221.46 × 117,710.52
  4. Step 4: Simplify right side
    213,203.64x = 34,632,961,051.76
  5. Step 5: Solve for x
    x = 34,632,961,051.76/213,203.64
  6. Step 6: Final answer
    x = 162,440.76

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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.