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Finding the Fourth Proportional to 227,445.86, 341,164.13 and 101,051.84

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Solution

The fourth proportional to 227,445.86, 341,164.13 and 101,051.84 is: 151,575.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,445.86 : 341,164.13 = 101,051.84 : x
  2. Step 2: Convert to fraction form
    227,445.86/341,164.13 = 101,051.84/x
  3. Step 3: Cross multiply
    227,445.86x = 341,164.13 × 101,051.84
  4. Step 4: Simplify right side
    227,445.86x = 34,475,263,426.15
  5. Step 5: Solve for x
    x = 34,475,263,426.15/227,445.86
  6. Step 6: Final answer
    x = 151,575.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.