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Finding the Fourth Proportional to 117,098, 161,551.14 and 76,833.98

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Solution

The fourth proportional to 117,098, 161,551.14 and 76,833.98 is: 106,001.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,098 : 161,551.14 = 76,833.98 : x
  2. Step 2: Convert to fraction form
    117,098/161,551.14 = 76,833.98/x
  3. Step 3: Cross multiply
    117,098x = 161,551.14 × 76,833.98
  4. Step 4: Simplify right side
    117,098x = 12,412,617,059.74
  5. Step 5: Solve for x
    x = 12,412,617,059.74/117,098
  6. Step 6: Final answer
    x = 106,001.96

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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.