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Finding the Fourth Proportional to 188,483.84, 282,722.88 and 48,241.28

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Solution

The fourth proportional to 188,483.84, 282,722.88 and 48,241.28 is: 72,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,483.84 : 282,722.88 = 48,241.28 : x
  2. Step 2: Convert to fraction form
    188,483.84/282,722.88 = 48,241.28/x
  3. Step 3: Cross multiply
    188,483.84x = 282,722.88 × 48,241.28
  4. Step 4: Simplify right side
    188,483.84x = 13,638,913,616.49
  5. Step 5: Solve for x
    x = 13,638,913,616.49/188,483.84
  6. Step 6: Final answer
    x = 72,361.18

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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.