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Finding the Fourth Proportional to 154,292.34, 212,913.39 and 86,297.54

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Solution

The fourth proportional to 154,292.34, 212,913.39 and 86,297.54 is: 119,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,292.34 : 212,913.39 = 86,297.54 : x
  2. Step 2: Convert to fraction form
    154,292.34/212,913.39 = 86,297.54/x
  3. Step 3: Cross multiply
    154,292.34x = 212,913.39 × 86,297.54
  4. Step 4: Simplify right side
    154,292.34x = 18,373,901,049.11
  5. Step 5: Solve for x
    x = 18,373,901,049.11/154,292.34
  6. Step 6: Final answer
    x = 119,084.98

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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.