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Finding the Fourth Proportional to 259,352.80, 357,913.12 and 144,630.32

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Solution

The fourth proportional to 259,352.80, 357,913.12 and 144,630.32 is: 199,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,352.80 : 357,913.12 = 144,630.32 : x
  2. Step 2: Convert to fraction form
    259,352.80/357,913.12 = 144,630.32/x
  3. Step 3: Cross multiply
    259,352.80x = 357,913.12 × 144,630.32
  4. Step 4: Simplify right side
    259,352.80x = 51,765,089,077.80
  5. Step 5: Solve for x
    x = 51,765,089,077.80/259,352.80
  6. Step 6: Final answer
    x = 199,593.33

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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.