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Finding the Fourth Proportional to 142,782.69, 214,177.48 and 48,014.11

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Solution

The fourth proportional to 142,782.69, 214,177.48 and 48,014.11 is: 72,022.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,782.69 : 214,177.48 = 48,014.11 : x
  2. Step 2: Convert to fraction form
    142,782.69/214,177.48 = 48,014.11/x
  3. Step 3: Cross multiply
    142,782.69x = 214,177.48 × 48,014.11
  4. Step 4: Simplify right side
    142,782.69x = 10,283,540,428.76
  5. Step 5: Solve for x
    x = 10,283,540,428.76/142,782.69
  6. Step 6: Final answer
    x = 72,022.32

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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.