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Finding the Fourth Proportional to 248,416, 342,900.48 and 147,811.84

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Solution

The fourth proportional to 248,416, 342,900.48 and 147,811.84 is: 204,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,416 : 342,900.48 = 147,811.84 : x
  2. Step 2: Convert to fraction form
    248,416/342,900.48 = 147,811.84/x
  3. Step 3: Cross multiply
    248,416x = 342,900.48 × 147,811.84
  4. Step 4: Simplify right side
    248,416x = 50,684,750,885.68
  5. Step 5: Solve for x
    x = 50,684,750,885.68/248,416
  6. Step 6: Final answer
    x = 204,031.75

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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.