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Finding the Fourth Proportional to 103,782.32, 143,211.48 and 58,458.32

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Solution

The fourth proportional to 103,782.32, 143,211.48 and 58,458.32 is: 80,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,782.32 : 143,211.48 = 58,458.32 : x
  2. Step 2: Convert to fraction form
    103,782.32/143,211.48 = 58,458.32/x
  3. Step 3: Cross multiply
    103,782.32x = 143,211.48 × 58,458.32
  4. Step 4: Simplify right side
    103,782.32x = 8,371,902,525.51
  5. Step 5: Solve for x
    x = 8,371,902,525.51/103,782.32
  6. Step 6: Final answer
    x = 80,667.91

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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.