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Finding the Fourth Proportional to 129,156.98, 178,238.78 and 71,016.17

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Solution

The fourth proportional to 129,156.98, 178,238.78 and 71,016.17 is: 98,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,156.98 : 178,238.78 = 71,016.17 : x
  2. Step 2: Convert to fraction form
    129,156.98/178,238.78 = 71,016.17/x
  3. Step 3: Cross multiply
    129,156.98x = 178,238.78 × 71,016.17
  4. Step 4: Simplify right side
    129,156.98x = 12,657,835,501.07
  5. Step 5: Solve for x
    x = 12,657,835,501.07/129,156.98
  6. Step 6: Final answer
    x = 98,003.50

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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.