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Finding the Fourth Proportional to 230,795.80, 346,323.30 and 97,653.40

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Solution

The fourth proportional to 230,795.80, 346,323.30 and 97,653.40 is: 146,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,795.80 : 346,323.30 = 97,653.40 : x
  2. Step 2: Convert to fraction form
    230,795.80/346,323.30 = 97,653.40/x
  3. Step 3: Cross multiply
    230,795.80x = 346,323.30 × 97,653.40
  4. Step 4: Simplify right side
    230,795.80x = 33,819,647,744.22
  5. Step 5: Solve for x
    x = 33,819,647,744.22/230,795.80
  6. Step 6: Final answer
    x = 146,534.94

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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.