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Finding the Fourth Proportional to 213,986.06, 295,297.14 and 118,490.71

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Solution

The fourth proportional to 213,986.06, 295,297.14 and 118,490.71 is: 163,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,986.06 : 295,297.14 = 118,490.71 : x
  2. Step 2: Convert to fraction form
    213,986.06/295,297.14 = 118,490.71/x
  3. Step 3: Cross multiply
    213,986.06x = 295,297.14 × 118,490.71
  4. Step 4: Simplify right side
    213,986.06x = 34,989,967,150.67
  5. Step 5: Solve for x
    x = 34,989,967,150.67/213,986.06
  6. Step 6: Final answer
    x = 163,515.17

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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.