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Finding the Fourth Proportional to 139,783, 209,676.12 and 34,602.88

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Solution

The fourth proportional to 139,783, 209,676.12 and 34,602.88 is: 51,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,783 : 209,676.12 = 34,602.88 : x
  2. Step 2: Convert to fraction form
    139,783/209,676.12 = 34,602.88/x
  3. Step 3: Cross multiply
    139,783x = 209,676.12 × 34,602.88
  4. Step 4: Simplify right side
    139,783x = 7,255,397,619.23
  5. Step 5: Solve for x
    x = 7,255,397,619.23/139,783
  6. Step 6: Final answer
    x = 51,904.72

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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.