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Finding the Fourth Proportional to 230,878, 346,064.82 and 146,675.80

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Solution

The fourth proportional to 230,878, 346,064.82 and 146,675.80 is: 219,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,878 : 346,064.82 = 146,675.80 : x
  2. Step 2: Convert to fraction form
    230,878/346,064.82 = 146,675.80/x
  3. Step 3: Cross multiply
    230,878x = 346,064.82 × 146,675.80
  4. Step 4: Simplify right side
    230,878x = 50,759,334,325.36
  5. Step 5: Solve for x
    x = 50,759,334,325.36/230,878
  6. Step 6: Final answer
    x = 219,853.49

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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.