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Finding the Fourth Proportional to 376,193.88, 564,323.62 and 123,398.54

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Solution

The fourth proportional to 376,193.88, 564,323.62 and 123,398.54 is: 185,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,193.88 : 564,323.62 = 123,398.54 : x
  2. Step 2: Convert to fraction form
    376,193.88/564,323.62 = 123,398.54/x
  3. Step 3: Cross multiply
    376,193.88x = 564,323.62 × 123,398.54
  4. Step 4: Simplify right side
    376,193.88x = 69,636,710,795.51
  5. Step 5: Solve for x
    x = 69,636,710,795.51/376,193.88
  6. Step 6: Final answer
    x = 185,108.57

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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.