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Finding the Fourth Proportional to 99,398.16, 137,172.60 and 56,970

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Solution

The fourth proportional to 99,398.16, 137,172.60 and 56,970 is: 78,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,398.16 : 137,172.60 = 56,970 : x
  2. Step 2: Convert to fraction form
    99,398.16/137,172.60 = 56,970/x
  3. Step 3: Cross multiply
    99,398.16x = 137,172.60 × 56,970
  4. Step 4: Simplify right side
    99,398.16x = 7,814,723,022
  5. Step 5: Solve for x
    x = 7,814,723,022/99,398.16
  6. Step 6: Final answer
    x = 78,620.40

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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.