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Finding the Fourth Proportional to 154,806.47, 213,546.40 and 97,424.38

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Solution

The fourth proportional to 154,806.47, 213,546.40 and 97,424.38 is: 134,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,806.47 : 213,546.40 = 97,424.38 : x
  2. Step 2: Convert to fraction form
    154,806.47/213,546.40 = 97,424.38/x
  3. Step 3: Cross multiply
    154,806.47x = 213,546.40 × 97,424.38
  4. Step 4: Simplify right side
    154,806.47x = 20,804,625,621.23
  5. Step 5: Solve for x
    x = 20,804,625,621.23/154,806.47
  6. Step 6: Final answer
    x = 134,391.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.