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Finding the Fourth Proportional to 100,831.73, 151,247.64 and 41,602.30

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Solution

The fourth proportional to 100,831.73, 151,247.64 and 41,602.30 is: 62,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,831.73 : 151,247.64 = 41,602.30 : x
  2. Step 2: Convert to fraction form
    100,831.73/151,247.64 = 41,602.30/x
  3. Step 3: Cross multiply
    100,831.73x = 151,247.64 × 41,602.30
  4. Step 4: Simplify right side
    100,831.73x = 6,292,248,729.32
  5. Step 5: Solve for x
    x = 6,292,248,729.32/100,831.73
  6. Step 6: Final answer
    x = 62,403.46

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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.