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Finding the Fourth Proportional to 142,062.80, 196,120.38 and 103,779.38

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Solution

The fourth proportional to 142,062.80, 196,120.38 and 103,779.38 is: 143,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,062.80 : 196,120.38 = 103,779.38 : x
  2. Step 2: Convert to fraction form
    142,062.80/196,120.38 = 103,779.38/x
  3. Step 3: Cross multiply
    142,062.80x = 196,120.38 × 103,779.38
  4. Step 4: Simplify right side
    142,062.80x = 20,353,251,441.76
  5. Step 5: Solve for x
    x = 20,353,251,441.76/142,062.80
  6. Step 6: Final answer
    x = 143,269.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.