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Finding the Fourth Proportional to 260,964.54, 360,109.08 and 144,681.12

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Solution

The fourth proportional to 260,964.54, 360,109.08 and 144,681.12 is: 199,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,964.54 : 360,109.08 = 144,681.12 : x
  2. Step 2: Convert to fraction form
    260,964.54/360,109.08 = 144,681.12/x
  3. Step 3: Cross multiply
    260,964.54x = 360,109.08 × 144,681.12
  4. Step 4: Simplify right side
    260,964.54x = 52,100,985,016.57
  5. Step 5: Solve for x
    x = 52,100,985,016.57/260,964.54
  6. Step 6: Final answer
    x = 199,647.76

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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.