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Finding the Fourth Proportional to 140,322.84, 210,416.04 and 46,797

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Solution

The fourth proportional to 140,322.84, 210,416.04 and 46,797 is: 70,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,322.84 : 210,416.04 = 46,797 : x
  2. Step 2: Convert to fraction form
    140,322.84/210,416.04 = 46,797/x
  3. Step 3: Cross multiply
    140,322.84x = 210,416.04 × 46,797
  4. Step 4: Simplify right side
    140,322.84x = 9,846,839,423.88
  5. Step 5: Solve for x
    x = 9,846,839,423.88/140,322.84
  6. Step 6: Final answer
    x = 70,172.75

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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.