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Finding the Fourth Proportional to 301,912.80, 452,888.48 and 102,205.60

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Solution

The fourth proportional to 301,912.80, 452,888.48 and 102,205.60 is: 153,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912.80 : 452,888.48 = 102,205.60 : x
  2. Step 2: Convert to fraction form
    301,912.80/452,888.48 = 102,205.60/x
  3. Step 3: Cross multiply
    301,912.80x = 452,888.48 × 102,205.60
  4. Step 4: Simplify right side
    301,912.80x = 46,287,738,831.49
  5. Step 5: Solve for x
    x = 46,287,738,831.49/301,912.80
  6. Step 6: Final answer
    x = 153,314.93

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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.