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Finding the Fourth Proportional to 114,729.84, 172,094.76 and 40,857.84

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Solution

The fourth proportional to 114,729.84, 172,094.76 and 40,857.84 is: 61,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,729.84 : 172,094.76 = 40,857.84 : x
  2. Step 2: Convert to fraction form
    114,729.84/172,094.76 = 40,857.84/x
  3. Step 3: Cross multiply
    114,729.84x = 172,094.76 × 40,857.84
  4. Step 4: Simplify right side
    114,729.84x = 7,031,420,168.92
  5. Step 5: Solve for x
    x = 7,031,420,168.92/114,729.84
  6. Step 6: Final answer
    x = 61,286.76

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1.5x scale

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.