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Finding the Fourth Proportional to 171,830, 237,125.54 and 96,378.50

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Solution

The fourth proportional to 171,830, 237,125.54 and 96,378.50 is: 133,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,830 : 237,125.54 = 96,378.50 : x
  2. Step 2: Convert to fraction form
    171,830/237,125.54 = 96,378.50/x
  3. Step 3: Cross multiply
    171,830x = 237,125.54 × 96,378.50
  4. Step 4: Simplify right side
    171,830x = 22,853,803,856.89
  5. Step 5: Solve for x
    x = 22,853,803,856.89/171,830
  6. Step 6: Final answer
    x = 133,002.41

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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.