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Finding the Fourth Proportional to 260,171.32, 359,043.42 and 146,991.64

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Solution

The fourth proportional to 260,171.32, 359,043.42 and 146,991.64 is: 202,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,171.32 : 359,043.42 = 146,991.64 : x
  2. Step 2: Convert to fraction form
    260,171.32/359,043.42 = 146,991.64/x
  3. Step 3: Cross multiply
    260,171.32x = 359,043.42 × 146,991.64
  4. Step 4: Simplify right side
    260,171.32x = 52,776,381,137.01
  5. Step 5: Solve for x
    x = 52,776,381,137.01/260,171.32
  6. Step 6: Final answer
    x = 202,852.42

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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.