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Finding the Fourth Proportional to 140,472.21, 210,664.38 and 46,956.09

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Solution

The fourth proportional to 140,472.21, 210,664.38 and 46,956.09 is: 70,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,472.21 : 210,664.38 = 46,956.09 : x
  2. Step 2: Convert to fraction form
    140,472.21/210,664.38 = 46,956.09/x
  3. Step 3: Cross multiply
    140,472.21x = 210,664.38 × 46,956.09
  4. Step 4: Simplify right side
    140,472.21x = 9,891,975,587.07
  5. Step 5: Solve for x
    x = 9,891,975,587.07/140,472.21
  6. Step 6: Final answer
    x = 70,419.45

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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.