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Finding the Fourth Proportional to 260,381.64, 359,329.26 and 152,986.20

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Solution

The fourth proportional to 260,381.64, 359,329.26 and 152,986.20 is: 211,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,381.64 : 359,329.26 = 152,986.20 : x
  2. Step 2: Convert to fraction form
    260,381.64/359,329.26 = 152,986.20/x
  3. Step 3: Cross multiply
    260,381.64x = 359,329.26 × 152,986.20
  4. Step 4: Simplify right side
    260,381.64x = 54,972,418,036.21
  5. Step 5: Solve for x
    x = 54,972,418,036.21/260,381.64
  6. Step 6: Final answer
    x = 211,122.48

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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.