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Finding the Fourth Proportional to 230,998, 346,497.02 and 55,894

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Solution

The fourth proportional to 230,998, 346,497.02 and 55,894 is: 83,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,998 : 346,497.02 = 55,894 : x
  2. Step 2: Convert to fraction form
    230,998/346,497.02 = 55,894/x
  3. Step 3: Cross multiply
    230,998x = 346,497.02 × 55,894
  4. Step 4: Simplify right side
    230,998x = 19,367,104,435.88
  5. Step 5: Solve for x
    x = 19,367,104,435.88/230,998
  6. Step 6: Final answer
    x = 83,841.00

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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.