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Finding the Fourth Proportional to 260,120.42, 358,917.44 and 164,559.86

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Solution

The fourth proportional to 260,120.42, 358,917.44 and 164,559.86 is: 227,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,120.42 : 358,917.44 = 164,559.86 : x
  2. Step 2: Convert to fraction form
    260,120.42/358,917.44 = 164,559.86/x
  3. Step 3: Cross multiply
    260,120.42x = 358,917.44 × 164,559.86
  4. Step 4: Simplify right side
    260,120.42x = 59,063,403,677.96
  5. Step 5: Solve for x
    x = 59,063,403,677.96/260,120.42
  6. Step 6: Final answer
    x = 227,061.77

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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.