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Finding the Fourth Proportional to 142,782.40, 214,176.98 and 48,013.80

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Solution

The fourth proportional to 142,782.40, 214,176.98 and 48,013.80 is: 72,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.40 : 214,176.98 = 48,013.80 : x
  2. Step 2: Convert to fraction form
    142,782.40/214,176.98 = 48,013.80/x
  3. Step 3: Cross multiply
    142,782.40x = 214,176.98 × 48,013.80
  4. Step 4: Simplify right side
    142,782.40x = 10,283,450,682.32
  5. Step 5: Solve for x
    x = 10,283,450,682.32/142,782.40
  6. Step 6: Final answer
    x = 72,021.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.