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Finding the Fourth Proportional to 116,103.03, 160,223.99 and 65,127.08

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Solution

The fourth proportional to 116,103.03, 160,223.99 and 65,127.08 is: 89,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,103.03 : 160,223.99 = 65,127.08 : x
  2. Step 2: Convert to fraction form
    116,103.03/160,223.99 = 65,127.08/x
  3. Step 3: Cross multiply
    116,103.03x = 160,223.99 × 65,127.08
  4. Step 4: Simplify right side
    116,103.03x = 10,434,919,487.89
  5. Step 5: Solve for x
    x = 10,434,919,487.89/116,103.03
  6. Step 6: Final answer
    x = 89,876.38

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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.