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Finding the Fourth Proportional to 103,447.06, 142,763.06 and 77,908.38

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Solution

The fourth proportional to 103,447.06, 142,763.06 and 77,908.38 is: 107,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,447.06 : 142,763.06 = 77,908.38 : x
  2. Step 2: Convert to fraction form
    103,447.06/142,763.06 = 77,908.38/x
  3. Step 3: Cross multiply
    103,447.06x = 142,763.06 × 77,908.38
  4. Step 4: Simplify right side
    103,447.06x = 11,122,438,728.44
  5. Step 5: Solve for x
    x = 11,122,438,728.44/103,447.06
  6. Step 6: Final answer
    x = 107,518.17

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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.