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Finding the Fourth Proportional to 116,372, 160,593.36 and 63,380

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Solution

The fourth proportional to 116,372, 160,593.36 and 63,380 is: 87,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,372 : 160,593.36 = 63,380 : x
  2. Step 2: Convert to fraction form
    116,372/160,593.36 = 63,380/x
  3. Step 3: Cross multiply
    116,372x = 160,593.36 × 63,380
  4. Step 4: Simplify right side
    116,372x = 10,178,407,156.80
  5. Step 5: Solve for x
    x = 10,178,407,156.80/116,372
  6. Step 6: Final answer
    x = 87,464.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.