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Finding the Fourth Proportional to 93,800.14, 129,504.54 and 83,711.26

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Solution

The fourth proportional to 93,800.14, 129,504.54 and 83,711.26 is: 115,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,800.14 : 129,504.54 = 83,711.26 : x
  2. Step 2: Convert to fraction form
    93,800.14/129,504.54 = 83,711.26/x
  3. Step 3: Cross multiply
    93,800.14x = 129,504.54 × 83,711.26
  4. Step 4: Simplify right side
    93,800.14x = 10,840,988,219.12
  5. Step 5: Solve for x
    x = 10,840,988,219.12/93,800.14
  6. Step 6: Final answer
    x = 115,575.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.