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Finding the Fourth Proportional to 133,182, 183,791.16 and 76,592.16

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Solution

The fourth proportional to 133,182, 183,791.16 and 76,592.16 is: 105,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,182 : 183,791.16 = 76,592.16 : x
  2. Step 2: Convert to fraction form
    133,182/183,791.16 = 76,592.16/x
  3. Step 3: Cross multiply
    133,182x = 183,791.16 × 76,592.16
  4. Step 4: Simplify right side
    133,182x = 14,076,961,933.31
  5. Step 5: Solve for x
    x = 14,076,961,933.31/133,182
  6. Step 6: Final answer
    x = 105,697.18

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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.