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Finding the Fourth Proportional to 138,021.39, 190,465.11 and 77,594.58

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Solution

The fourth proportional to 138,021.39, 190,465.11 and 77,594.58 is: 107,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,021.39 : 190,465.11 = 77,594.58 : x
  2. Step 2: Convert to fraction form
    138,021.39/190,465.11 = 77,594.58/x
  3. Step 3: Cross multiply
    138,021.39x = 190,465.11 × 77,594.58
  4. Step 4: Simplify right side
    138,021.39x = 14,779,060,215.10
  5. Step 5: Solve for x
    x = 14,779,060,215.10/138,021.39
  6. Step 6: Final answer
    x = 107,078.04

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