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Finding the Fourth Proportional to 102,661.82, 153,965.99 and 43,467.02

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Solution

The fourth proportional to 102,661.82, 153,965.99 and 43,467.02 is: 65,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,661.82 : 153,965.99 = 43,467.02 : x
  2. Step 2: Convert to fraction form
    102,661.82/153,965.99 = 43,467.02/x
  3. Step 3: Cross multiply
    102,661.82x = 153,965.99 × 43,467.02
  4. Step 4: Simplify right side
    102,661.82x = 6,692,441,779.48
  5. Step 5: Solve for x
    x = 6,692,441,779.48/102,661.82
  6. Step 6: Final answer
    x = 65,189.20

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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.