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Finding the Fourth Proportional to 123,933.84, 171,081.08 and 83,702.15

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Solution

The fourth proportional to 123,933.84, 171,081.08 and 83,702.15 is: 115,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,933.84 : 171,081.08 = 83,702.15 : x
  2. Step 2: Convert to fraction form
    123,933.84/171,081.08 = 83,702.15/x
  3. Step 3: Cross multiply
    123,933.84x = 171,081.08 × 83,702.15
  4. Step 4: Simplify right side
    123,933.84x = 14,319,854,220.32
  5. Step 5: Solve for x
    x = 14,319,854,220.32/123,933.84
  6. Step 6: Final answer
    x = 115,544.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.