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Finding the Fourth Proportional to 174,497.86, 240,745.66 and 114,103.86

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Solution

The fourth proportional to 174,497.86, 240,745.66 and 114,103.86 is: 157,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,497.86 : 240,745.66 = 114,103.86 : x
  2. Step 2: Convert to fraction form
    174,497.86/240,745.66 = 114,103.86/x
  3. Step 3: Cross multiply
    174,497.86x = 240,745.66 × 114,103.86
  4. Step 4: Simplify right side
    174,497.86x = 27,470,009,084.25
  5. Step 5: Solve for x
    x = 27,470,009,084.25/174,497.86
  6. Step 6: Final answer
    x = 157,423.19

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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.