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Finding the Fourth Proportional to 217,158.44, 325,804.95 and 97,316.37

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Solution

The fourth proportional to 217,158.44, 325,804.95 and 97,316.37 is: 146,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,158.44 : 325,804.95 = 97,316.37 : x
  2. Step 2: Convert to fraction form
    217,158.44/325,804.95 = 97,316.37/x
  3. Step 3: Cross multiply
    217,158.44x = 325,804.95 × 97,316.37
  4. Step 4: Simplify right side
    217,158.44x = 31,706,155,062.03
  5. Step 5: Solve for x
    x = 31,706,155,062.03/217,158.44
  6. Step 6: Final answer
    x = 146,004.71

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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.