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Finding the Fourth Proportional to 174,498.62, 240,813.94 and 96,977.53

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Solution

The fourth proportional to 174,498.62, 240,813.94 and 96,977.53 is: 133,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,498.62 : 240,813.94 = 96,977.53 : x
  2. Step 2: Convert to fraction form
    174,498.62/240,813.94 = 96,977.53/x
  3. Step 3: Cross multiply
    174,498.62x = 240,813.94 × 96,977.53
  4. Step 4: Simplify right side
    174,498.62x = 23,353,541,090.77
  5. Step 5: Solve for x
    x = 23,353,541,090.77/174,498.62
  6. Step 6: Final answer
    x = 133,832.24

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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.