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Finding the Fourth Proportional to 255,961.40, 384,114.90 and 143,641.40

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Solution

The fourth proportional to 255,961.40, 384,114.90 and 143,641.40 is: 215,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,961.40 : 384,114.90 = 143,641.40 : x
  2. Step 2: Convert to fraction form
    255,961.40/384,114.90 = 143,641.40/x
  3. Step 3: Cross multiply
    255,961.40x = 384,114.90 × 143,641.40
  4. Step 4: Simplify right side
    255,961.40x = 55,174,801,996.86
  5. Step 5: Solve for x
    x = 55,174,801,996.86/255,961.40
  6. Step 6: Final answer
    x = 215,559.07

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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.