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Finding the Fourth Proportional to 116,410.78, 174,578.90 and 37,506.54

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Solution

The fourth proportional to 116,410.78, 174,578.90 and 37,506.54 is: 56,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,410.78 : 174,578.90 = 37,506.54 : x
  2. Step 2: Convert to fraction form
    116,410.78/174,578.90 = 37,506.54/x
  3. Step 3: Cross multiply
    116,410.78x = 174,578.90 × 37,506.54
  4. Step 4: Simplify right side
    116,410.78x = 6,547,850,496.01
  5. Step 5: Solve for x
    x = 6,547,850,496.01/116,410.78
  6. Step 6: Final answer
    x = 56,247.80

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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.