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Finding the Fourth Proportional to 185,412.30, 278,701.65 and 181,913.10

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Solution

The fourth proportional to 185,412.30, 278,701.65 and 181,913.10 is: 273,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,412.30 : 278,701.65 = 181,913.10 : x
  2. Step 2: Convert to fraction form
    185,412.30/278,701.65 = 181,913.10/x
  3. Step 3: Cross multiply
    185,412.30x = 278,701.65 × 181,913.10
  4. Step 4: Simplify right side
    185,412.30x = 50,699,481,126.62
  5. Step 5: Solve for x
    x = 50,699,481,126.62/185,412.30
  6. Step 6: Final answer
    x = 273,441.84

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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.