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Finding the Fourth Proportional to 116,282.50, 174,358.14 and 40,345.42

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Solution

The fourth proportional to 116,282.50, 174,358.14 and 40,345.42 is: 60,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,282.50 : 174,358.14 = 40,345.42 : x
  2. Step 2: Convert to fraction form
    116,282.50/174,358.14 = 40,345.42/x
  3. Step 3: Cross multiply
    116,282.50x = 174,358.14 × 40,345.42
  4. Step 4: Simplify right side
    116,282.50x = 7,034,552,388.72
  5. Step 5: Solve for x
    x = 7,034,552,388.72/116,282.50
  6. Step 6: Final answer
    x = 60,495.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.