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Finding the Fourth Proportional to 260,958.32, 360,130.96 and 147,778.64

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Solution

The fourth proportional to 260,958.32, 360,130.96 and 147,778.64 is: 203,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,958.32 : 360,130.96 = 147,778.64 : x
  2. Step 2: Convert to fraction form
    260,958.32/360,130.96 = 147,778.64/x
  3. Step 3: Cross multiply
    260,958.32x = 360,130.96 × 147,778.64
  4. Step 4: Simplify right side
    260,958.32x = 53,219,663,490.69
  5. Step 5: Solve for x
    x = 53,219,663,490.69/260,958.32
  6. Step 6: Final answer
    x = 203,939.32

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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.