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Finding the Fourth Proportional to 184,810.40, 277,215.60 and 100,829.60

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Solution

The fourth proportional to 184,810.40, 277,215.60 and 100,829.60 is: 151,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,810.40 : 277,215.60 = 100,829.60 : x
  2. Step 2: Convert to fraction form
    184,810.40/277,215.60 = 100,829.60/x
  3. Step 3: Cross multiply
    184,810.40x = 277,215.60 × 100,829.60
  4. Step 4: Simplify right side
    184,810.40x = 27,951,538,061.76
  5. Step 5: Solve for x
    x = 27,951,538,061.76/184,810.40
  6. Step 6: Final answer
    x = 151,244.40

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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.