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Finding the Fourth Proportional to 376,045.68, 564,121.20 and 109,825.84

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Solution

The fourth proportional to 376,045.68, 564,121.20 and 109,825.84 is: 164,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,045.68 : 564,121.20 = 109,825.84 : x
  2. Step 2: Convert to fraction form
    376,045.68/564,121.20 = 109,825.84/x
  3. Step 3: Cross multiply
    376,045.68x = 564,121.20 × 109,825.84
  4. Step 4: Simplify right side
    376,045.68x = 61,955,084,651.81
  5. Step 5: Solve for x
    x = 61,955,084,651.81/376,045.68
  6. Step 6: Final answer
    x = 164,754.15

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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.