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Finding the Fourth Proportional to 117,647.34, 176,452.38 and 97,784.34

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Solution

The fourth proportional to 117,647.34, 176,452.38 and 97,784.34 is: 146,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,647.34 : 176,452.38 = 97,784.34 : x
  2. Step 2: Convert to fraction form
    117,647.34/176,452.38 = 97,784.34/x
  3. Step 3: Cross multiply
    117,647.34x = 176,452.38 × 97,784.34
  4. Step 4: Simplify right side
    117,647.34x = 17,254,279,519.73
  5. Step 5: Solve for x
    x = 17,254,279,519.73/117,647.34
  6. Step 6: Final answer
    x = 146,661.03

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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.