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Finding the Fourth Proportional to 103,302.88, 142,642 and 84,185.46

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Solution

The fourth proportional to 103,302.88, 142,642 and 84,185.46 is: 116,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,302.88 : 142,642 = 84,185.46 : x
  2. Step 2: Convert to fraction form
    103,302.88/142,642 = 84,185.46/x
  3. Step 3: Cross multiply
    103,302.88x = 142,642 × 84,185.46
  4. Step 4: Simplify right side
    103,302.88x = 12,008,382,385.32
  5. Step 5: Solve for x
    x = 12,008,382,385.32/103,302.88
  6. Step 6: Final answer
    x = 116,244.41

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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.