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Finding the Fourth Proportional to 138,202.94, 190,729.74 and 77,779.40

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Solution

The fourth proportional to 138,202.94, 190,729.74 and 77,779.40 is: 107,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,202.94 : 190,729.74 = 77,779.40 : x
  2. Step 2: Convert to fraction form
    138,202.94/190,729.74 = 77,779.40/x
  3. Step 3: Cross multiply
    138,202.94x = 190,729.74 × 77,779.40
  4. Step 4: Simplify right side
    138,202.94x = 14,834,844,739.36
  5. Step 5: Solve for x
    x = 14,834,844,739.36/138,202.94
  6. Step 6: Final answer
    x = 107,341.02

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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.