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Finding the Fourth Proportional to 98,176, 147,264 and 24,304

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Solution

The fourth proportional to 98,176, 147,264 and 24,304 is: 36,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,176 : 147,264 = 24,304 : x
  2. Step 2: Convert to fraction form
    98,176/147,264 = 24,304/x
  3. Step 3: Cross multiply
    98,176x = 147,264 × 24,304
  4. Step 4: Simplify right side
    98,176x = 3,579,104,256
  5. Step 5: Solve for x
    x = 3,579,104,256/98,176
  6. Step 6: Final answer
    x = 36,456

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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.