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Finding the Fourth Proportional to 237,152.89, 355,729.94 and 96,911.51

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Solution

The fourth proportional to 237,152.89, 355,729.94 and 96,911.51 is: 145,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,152.89 : 355,729.94 = 96,911.51 : x
  2. Step 2: Convert to fraction form
    237,152.89/355,729.94 = 96,911.51/x
  3. Step 3: Cross multiply
    237,152.89x = 355,729.94 × 96,911.51
  4. Step 4: Simplify right side
    237,152.89x = 34,474,325,637.61
  5. Step 5: Solve for x
    x = 34,474,325,637.61/237,152.89
  6. Step 6: Final answer
    x = 145,367.51

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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.