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Finding the Fourth Proportional to 155,785.38, 214,842.68 and 102,050.80

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Solution

The fourth proportional to 155,785.38, 214,842.68 and 102,050.80 is: 140,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,785.38 : 214,842.68 = 102,050.80 : x
  2. Step 2: Convert to fraction form
    155,785.38/214,842.68 = 102,050.80/x
  3. Step 3: Cross multiply
    155,785.38x = 214,842.68 × 102,050.80
  4. Step 4: Simplify right side
    155,785.38x = 21,924,867,368.14
  5. Step 5: Solve for x
    x = 21,924,867,368.14/155,785.38
  6. Step 6: Final answer
    x = 140,737.64

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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.