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Finding the Fourth Proportional to 252,051.53, 347,814.85 and 150,084.48

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Solution

The fourth proportional to 252,051.53, 347,814.85 and 150,084.48 is: 207,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,051.53 : 347,814.85 = 150,084.48 : x
  2. Step 2: Convert to fraction form
    252,051.53/347,814.85 = 150,084.48/x
  3. Step 3: Cross multiply
    252,051.53x = 347,814.85 × 150,084.48
  4. Step 4: Simplify right side
    252,051.53x = 52,201,610,148.11
  5. Step 5: Solve for x
    x = 52,201,610,148.11/252,051.53
  6. Step 6: Final answer
    x = 207,106.90

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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.