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Finding the Fourth Proportional to 103,697.34, 143,116.26 and 58,384.32

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Solution

The fourth proportional to 103,697.34, 143,116.26 and 58,384.32 is: 80,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,697.34 : 143,116.26 = 58,384.32 : x
  2. Step 2: Convert to fraction form
    103,697.34/143,116.26 = 58,384.32/x
  3. Step 3: Cross multiply
    103,697.34x = 143,116.26 × 58,384.32
  4. Step 4: Simplify right side
    103,697.34x = 8,355,745,521.04
  5. Step 5: Solve for x
    x = 8,355,745,521.04/103,697.34
  6. Step 6: Final answer
    x = 80,578.21

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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.