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Finding the Fourth Proportional to 144,969.30, 195,086.48 and 144,969.30

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Solution

The fourth proportional to 144,969.30, 195,086.48 and 144,969.30 is: 195,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,969.30 : 195,086.48 = 144,969.30 : x
  2. Step 2: Convert to fraction form
    144,969.30/195,086.48 = 144,969.30/x
  3. Step 3: Cross multiply
    144,969.30x = 195,086.48 × 144,969.30
  4. Step 4: Simplify right side
    144,969.30x = 28,281,549,720.22
  5. Step 5: Solve for x
    x = 28,281,549,720.22/144,969.30
  6. Step 6: Final answer
    x = 195,086.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.