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Finding the Fourth Proportional to 129,574.09, 178,815.20 and 72,219.31

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Solution

The fourth proportional to 129,574.09, 178,815.20 and 72,219.31 is: 99,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,574.09 : 178,815.20 = 72,219.31 : x
  2. Step 2: Convert to fraction form
    129,574.09/178,815.20 = 72,219.31/x
  3. Step 3: Cross multiply
    129,574.09x = 178,815.20 × 72,219.31
  4. Step 4: Simplify right side
    129,574.09x = 12,913,909,106.34
  5. Step 5: Solve for x
    x = 12,913,909,106.34/129,574.09
  6. Step 6: Final answer
    x = 99,664.29

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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.