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Finding the Fourth Proportional to 103,094.06, 142,338.32 and 79,178

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Solution

The fourth proportional to 103,094.06, 142,338.32 and 79,178 is: 109,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,094.06 : 142,338.32 = 79,178 : x
  2. Step 2: Convert to fraction form
    103,094.06/142,338.32 = 79,178/x
  3. Step 3: Cross multiply
    103,094.06x = 142,338.32 × 79,178
  4. Step 4: Simplify right side
    103,094.06x = 11,270,063,500.96
  5. Step 5: Solve for x
    x = 11,270,063,500.96/103,094.06
  6. Step 6: Final answer
    x = 109,318.26

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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.