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Finding the Fourth Proportional to 153,610.50, 211,982.49 and 82,954.50

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Solution

The fourth proportional to 153,610.50, 211,982.49 and 82,954.50 is: 114,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,610.50 : 211,982.49 = 82,954.50 : x
  2. Step 2: Convert to fraction form
    153,610.50/211,982.49 = 82,954.50/x
  3. Step 3: Cross multiply
    153,610.50x = 211,982.49 × 82,954.50
  4. Step 4: Simplify right side
    153,610.50x = 17,584,901,466.71
  5. Step 5: Solve for x
    x = 17,584,901,466.71/153,610.50
  6. Step 6: Final answer
    x = 114,477.21

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1.5x scale

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.