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Finding the Fourth Proportional to 230,884.80, 346,456.80 and 97,742.40

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Solution

The fourth proportional to 230,884.80, 346,456.80 and 97,742.40 is: 146,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,884.80 : 346,456.80 = 97,742.40 : x
  2. Step 2: Convert to fraction form
    230,884.80/346,456.80 = 97,742.40/x
  3. Step 3: Cross multiply
    230,884.80x = 346,456.80 × 97,742.40
  4. Step 4: Simplify right side
    230,884.80x = 33,863,519,128.32
  5. Step 5: Solve for x
    x = 33,863,519,128.32/230,884.80
  6. Step 6: Final answer
    x = 146,668.46

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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.