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Finding the Fourth Proportional to 342,178.32, 513,258.84 and 92,853.84

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Solution

The fourth proportional to 342,178.32, 513,258.84 and 92,853.84 is: 139,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,178.32 : 513,258.84 = 92,853.84 : x
  2. Step 2: Convert to fraction form
    342,178.32/513,258.84 = 92,853.84/x
  3. Step 3: Cross multiply
    342,178.32x = 513,258.84 × 92,853.84
  4. Step 4: Simplify right side
    342,178.32x = 47,658,054,207.95
  5. Step 5: Solve for x
    x = 47,658,054,207.95/342,178.32
  6. Step 6: Final answer
    x = 139,278.42

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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.