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Finding the Fourth Proportional to 133,265.82, 183,901.84 and 72,835.98

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Solution

The fourth proportional to 133,265.82, 183,901.84 and 72,835.98 is: 100,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,265.82 : 183,901.84 = 72,835.98 : x
  2. Step 2: Convert to fraction form
    133,265.82/183,901.84 = 72,835.98/x
  3. Step 3: Cross multiply
    133,265.82x = 183,901.84 × 72,835.98
  4. Step 4: Simplify right side
    133,265.82x = 13,394,670,278.18
  5. Step 5: Solve for x
    x = 13,394,670,278.18/133,265.82
  6. Step 6: Final answer
    x = 100,510.92

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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.