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Finding the Fourth Proportional to 104,878.84, 157,178.12 and 38,256.34

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Solution

The fourth proportional to 104,878.84, 157,178.12 and 38,256.34 is: 57,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,878.84 : 157,178.12 = 38,256.34 : x
  2. Step 2: Convert to fraction form
    104,878.84/157,178.12 = 38,256.34/x
  3. Step 3: Cross multiply
    104,878.84x = 157,178.12 × 38,256.34
  4. Step 4: Simplify right side
    104,878.84x = 6,013,058,813.39
  5. Step 5: Solve for x
    x = 6,013,058,813.39/104,878.84
  6. Step 6: Final answer
    x = 57,333.39

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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.