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Finding the Fourth Proportional to 376,107.33, 564,254.37 and 186,656.61

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Solution

The fourth proportional to 376,107.33, 564,254.37 and 186,656.61 is: 280,031.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,107.33 : 564,254.37 = 186,656.61 : x
  2. Step 2: Convert to fraction form
    376,107.33/564,254.37 = 186,656.61/x
  3. Step 3: Cross multiply
    376,107.33x = 564,254.37 × 186,656.61
  4. Step 4: Simplify right side
    376,107.33x = 105,321,807,881.89
  5. Step 5: Solve for x
    x = 105,321,807,881.89/376,107.33
  6. Step 6: Final answer
    x = 280,031.26

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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.