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Finding the Fourth Proportional to 116,701, 161,047.38 and 63,709

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Solution

The fourth proportional to 116,701, 161,047.38 and 63,709 is: 87,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,701 : 161,047.38 = 63,709 : x
  2. Step 2: Convert to fraction form
    116,701/161,047.38 = 63,709/x
  3. Step 3: Cross multiply
    116,701x = 161,047.38 × 63,709
  4. Step 4: Simplify right side
    116,701x = 10,260,167,532.42
  5. Step 5: Solve for x
    x = 10,260,167,532.42/116,701
  6. Step 6: Final answer
    x = 87,918.42

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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.