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Finding the Fourth Proportional to 180,164.64, 248,619.36 and 99,588

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Solution

The fourth proportional to 180,164.64, 248,619.36 and 99,588 is: 137,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,164.64 : 248,619.36 = 99,588 : x
  2. Step 2: Convert to fraction form
    180,164.64/248,619.36 = 99,588/x
  3. Step 3: Cross multiply
    180,164.64x = 248,619.36 × 99,588
  4. Step 4: Simplify right side
    180,164.64x = 24,759,504,823.68
  5. Step 5: Solve for x
    x = 24,759,504,823.68/180,164.64
  6. Step 6: Final answer
    x = 137,427.10

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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.