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Finding the Fourth Proportional to 183,784.40, 275,530.80 and 100,678.40

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Solution

The fourth proportional to 183,784.40, 275,530.80 and 100,678.40 is: 150,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,784.40 : 275,530.80 = 100,678.40 : x
  2. Step 2: Convert to fraction form
    183,784.40/275,530.80 = 100,678.40/x
  3. Step 3: Cross multiply
    183,784.40x = 275,530.80 × 100,678.40
  4. Step 4: Simplify right side
    183,784.40x = 27,740,000,094.72
  5. Step 5: Solve for x
    x = 27,740,000,094.72/183,784.40
  6. Step 6: Final answer
    x = 150,937.73

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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.