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Finding the Fourth Proportional to 217,055.61, 325,189.76 and 160,270.16

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Solution

The fourth proportional to 217,055.61, 325,189.76 and 160,270.16 is: 240,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,055.61 : 325,189.76 = 160,270.16 : x
  2. Step 2: Convert to fraction form
    217,055.61/325,189.76 = 160,270.16/x
  3. Step 3: Cross multiply
    217,055.61x = 325,189.76 × 160,270.16
  4. Step 4: Simplify right side
    217,055.61x = 52,118,212,438.26
  5. Step 5: Solve for x
    x = 52,118,212,438.26/217,055.61
  6. Step 6: Final answer
    x = 240,114.56

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Why These Related Problems?

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