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Finding the Fourth Proportional to 103,172.39, 142,317.42 and 64,871.24

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Solution

The fourth proportional to 103,172.39, 142,317.42 and 64,871.24 is: 89,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,172.39 : 142,317.42 = 64,871.24 : x
  2. Step 2: Convert to fraction form
    103,172.39/142,317.42 = 64,871.24/x
  3. Step 3: Cross multiply
    103,172.39x = 142,317.42 × 64,871.24
  4. Step 4: Simplify right side
    103,172.39x = 9,232,306,797.41
  5. Step 5: Solve for x
    x = 9,232,306,797.41/103,172.39
  6. Step 6: Final answer
    x = 89,484.28

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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.