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Finding the Fourth Proportional to 103,054.13, 142,214.70 and 58,342.13

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Solution

The fourth proportional to 103,054.13, 142,214.70 and 58,342.13 is: 80,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,054.13 : 142,214.70 = 58,342.13 : x
  2. Step 2: Convert to fraction form
    103,054.13/142,214.70 = 58,342.13/x
  3. Step 3: Cross multiply
    103,054.13x = 142,214.70 × 58,342.13
  4. Step 4: Simplify right side
    103,054.13x = 8,297,107,804.24
  5. Step 5: Solve for x
    x = 8,297,107,804.24/103,054.13
  6. Step 6: Final answer
    x = 80,512.14

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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.