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Finding the Fourth Proportional to 217,078.16, 325,223.50 and 160,292.64

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Solution

The fourth proportional to 217,078.16, 325,223.50 and 160,292.64 is: 240,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,078.16 : 325,223.50 = 160,292.64 : x
  2. Step 2: Convert to fraction form
    217,078.16/325,223.50 = 160,292.64/x
  3. Step 3: Cross multiply
    217,078.16x = 325,223.50 × 160,292.64
  4. Step 4: Simplify right side
    217,078.16x = 52,130,933,405.04
  5. Step 5: Solve for x
    x = 52,130,933,405.04/217,078.16
  6. Step 6: Final answer
    x = 240,148.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.