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Finding the Fourth Proportional to 227,983.93, 314,454.65 and 160,016.06

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Solution

The fourth proportional to 227,983.93, 314,454.65 and 160,016.06 is: 220,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,983.93 : 314,454.65 = 160,016.06 : x
  2. Step 2: Convert to fraction form
    227,983.93/314,454.65 = 160,016.06/x
  3. Step 3: Cross multiply
    227,983.93x = 314,454.65 × 160,016.06
  4. Step 4: Simplify right side
    227,983.93x = 50,317,794,127.74
  5. Step 5: Solve for x
    x = 50,317,794,127.74/227,983.93
  6. Step 6: Final answer
    x = 220,707.64

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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.