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Finding the Fourth Proportional to 260,169.84, 359,014.68 and 147,003.12

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Solution

The fourth proportional to 260,169.84, 359,014.68 and 147,003.12 is: 202,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,169.84 : 359,014.68 = 147,003.12 : x
  2. Step 2: Convert to fraction form
    260,169.84/359,014.68 = 147,003.12/x
  3. Step 3: Cross multiply
    260,169.84x = 359,014.68 × 147,003.12
  4. Step 4: Simplify right side
    260,169.84x = 52,776,278,085.80
  5. Step 5: Solve for x
    x = 52,776,278,085.80/260,169.84
  6. Step 6: Final answer
    x = 202,853.18

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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.