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Finding the Fourth Proportional to 128,406.21, 192,571.70 and 48,386.45

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Solution

The fourth proportional to 128,406.21, 192,571.70 and 48,386.45 is: 72,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,406.21 : 192,571.70 = 48,386.45 : x
  2. Step 2: Convert to fraction form
    128,406.21/192,571.70 = 48,386.45/x
  3. Step 3: Cross multiply
    128,406.21x = 192,571.70 × 48,386.45
  4. Step 4: Simplify right side
    128,406.21x = 9,317,860,933.47
  5. Step 5: Solve for x
    x = 9,317,860,933.47/128,406.21
  6. Step 6: Final answer
    x = 72,565.50

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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.