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Finding the Fourth Proportional to 142,388.34, 196,504.71 and 81,957.66

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Solution

The fourth proportional to 142,388.34, 196,504.71 and 81,957.66 is: 113,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,388.34 : 196,504.71 = 81,957.66 : x
  2. Step 2: Convert to fraction form
    142,388.34/196,504.71 = 81,957.66/x
  3. Step 3: Cross multiply
    142,388.34x = 196,504.71 × 81,957.66
  4. Step 4: Simplify right side
    142,388.34x = 16,105,066,210.58
  5. Step 5: Solve for x
    x = 16,105,066,210.58/142,388.34
  6. Step 6: Final answer
    x = 113,106.64

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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.