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Finding the Fourth Proportional to 114,897.90, 172,346.58 and 54,743.78

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Solution

The fourth proportional to 114,897.90, 172,346.58 and 54,743.78 is: 82,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,897.90 : 172,346.58 = 54,743.78 : x
  2. Step 2: Convert to fraction form
    114,897.90/172,346.58 = 54,743.78/x
  3. Step 3: Cross multiply
    114,897.90x = 172,346.58 × 54,743.78
  4. Step 4: Simplify right side
    114,897.90x = 9,434,903,259.27
  5. Step 5: Solve for x
    x = 9,434,903,259.27/114,897.90
  6. Step 6: Final answer
    x = 82,115.54

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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.