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Finding the Fourth Proportional to 213,532.86, 294,686.84 and 118,048.44

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Solution

The fourth proportional to 213,532.86, 294,686.84 and 118,048.44 is: 162,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,532.86 : 294,686.84 = 118,048.44 : x
  2. Step 2: Convert to fraction form
    213,532.86/294,686.84 = 118,048.44/x
  3. Step 3: Cross multiply
    213,532.86x = 294,686.84 × 118,048.44
  4. Step 4: Simplify right side
    213,532.86x = 34,787,321,750.53
  5. Step 5: Solve for x
    x = 34,787,321,750.53/213,532.86
  6. Step 6: Final answer
    x = 162,913.20

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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.