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Finding the Fourth Proportional to 116,853.30, 175,297.23 and 46,731.06

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Solution

The fourth proportional to 116,853.30, 175,297.23 and 46,731.06 is: 70,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,853.30 : 175,297.23 = 46,731.06 : x
  2. Step 2: Convert to fraction form
    116,853.30/175,297.23 = 46,731.06/x
  3. Step 3: Cross multiply
    116,853.30x = 175,297.23 × 46,731.06
  4. Step 4: Simplify right side
    116,853.30x = 8,191,825,372.96
  5. Step 5: Solve for x
    x = 8,191,825,372.96/116,853.30
  6. Step 6: Final answer
    x = 70,103.50

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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.