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Finding the Fourth Proportional to 631,332.48, 946,989.12 and 188,100.48

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Solution

The fourth proportional to 631,332.48, 946,989.12 and 188,100.48 is: 282,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,332.48 : 946,989.12 = 188,100.48 : x
  2. Step 2: Convert to fraction form
    631,332.48/946,989.12 = 188,100.48/x
  3. Step 3: Cross multiply
    631,332.48x = 946,989.12 × 188,100.48
  4. Step 4: Simplify right side
    631,332.48x = 178,129,108,026.78
  5. Step 5: Solve for x
    x = 178,129,108,026.78/631,332.48
  6. Step 6: Final answer
    x = 282,147.86

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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.