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Finding the Fourth Proportional to 147,874.84, 221,859.32 and 53,040.76

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Solution

The fourth proportional to 147,874.84, 221,859.32 and 53,040.76 is: 79,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,874.84 : 221,859.32 = 53,040.76 : x
  2. Step 2: Convert to fraction form
    147,874.84/221,859.32 = 53,040.76/x
  3. Step 3: Cross multiply
    147,874.84x = 221,859.32 × 53,040.76
  4. Step 4: Simplify right side
    147,874.84x = 11,767,586,945.88
  5. Step 5: Solve for x
    x = 11,767,586,945.88/147,874.84
  6. Step 6: Final answer
    x = 79,578.02

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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.