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Finding the Fourth Proportional to 164,831.40, 247,222.80 and 46,514.70

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Solution

The fourth proportional to 164,831.40, 247,222.80 and 46,514.70 is: 69,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,831.40 : 247,222.80 = 46,514.70 : x
  2. Step 2: Convert to fraction form
    164,831.40/247,222.80 = 46,514.70/x
  3. Step 3: Cross multiply
    164,831.40x = 247,222.80 × 46,514.70
  4. Step 4: Simplify right side
    164,831.40x = 11,499,494,375.16
  5. Step 5: Solve for x
    x = 11,499,494,375.16/164,831.40
  6. Step 6: Final answer
    x = 69,765.19

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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.