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Finding the Fourth Proportional to 133,706.58, 184,475.52 and 76,344

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Solution

The fourth proportional to 133,706.58, 184,475.52 and 76,344 is: 105,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,706.58 : 184,475.52 = 76,344 : x
  2. Step 2: Convert to fraction form
    133,706.58/184,475.52 = 76,344/x
  3. Step 3: Cross multiply
    133,706.58x = 184,475.52 × 76,344
  4. Step 4: Simplify right side
    133,706.58x = 14,083,599,098.88
  5. Step 5: Solve for x
    x = 14,083,599,098.88/133,706.58
  6. Step 6: Final answer
    x = 105,332.13

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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.