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Finding the Fourth Proportional to 252,243.42, 378,175.58 and 119,047.84

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Solution

The fourth proportional to 252,243.42, 378,175.58 and 119,047.84 is: 178,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,243.42 : 378,175.58 = 119,047.84 : x
  2. Step 2: Convert to fraction form
    252,243.42/378,175.58 = 119,047.84/x
  3. Step 3: Cross multiply
    252,243.42x = 378,175.58 × 119,047.84
  4. Step 4: Simplify right side
    252,243.42x = 45,020,985,939.75
  5. Step 5: Solve for x
    x = 45,020,985,939.75/252,243.42
  6. Step 6: Final answer
    x = 178,482.30

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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.