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Finding the Fourth Proportional to 133,710.58, 184,481.04 and 76,348

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Solution

The fourth proportional to 133,710.58, 184,481.04 and 76,348 is: 105,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710.58 : 184,481.04 = 76,348 : x
  2. Step 2: Convert to fraction form
    133,710.58/184,481.04 = 76,348/x
  3. Step 3: Cross multiply
    133,710.58x = 184,481.04 × 76,348
  4. Step 4: Simplify right side
    133,710.58x = 14,084,758,441.92
  5. Step 5: Solve for x
    x = 14,084,758,441.92/133,710.58
  6. Step 6: Final answer
    x = 105,337.65

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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.