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Finding the Fourth Proportional to 133,364.96, 184,090 and 76,798.88

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Solution

The fourth proportional to 133,364.96, 184,090 and 76,798.88 is: 106,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,364.96 : 184,090 = 76,798.88 : x
  2. Step 2: Convert to fraction form
    133,364.96/184,090 = 76,798.88/x
  3. Step 3: Cross multiply
    133,364.96x = 184,090 × 76,798.88
  4. Step 4: Simplify right side
    133,364.96x = 14,137,905,819.20
  5. Step 5: Solve for x
    x = 14,137,905,819.20/133,364.96
  6. Step 6: Final answer
    x = 106,009.15

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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.