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Finding the Fourth Proportional to 138,211.32, 190,729.86 and 77,782.08

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Solution

The fourth proportional to 138,211.32, 190,729.86 and 77,782.08 is: 107,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,211.32 : 190,729.86 = 77,782.08 : x
  2. Step 2: Convert to fraction form
    138,211.32/190,729.86 = 77,782.08/x
  3. Step 3: Cross multiply
    138,211.32x = 190,729.86 × 77,782.08
  4. Step 4: Simplify right side
    138,211.32x = 14,835,365,228.91
  5. Step 5: Solve for x
    x = 14,835,365,228.91/138,211.32
  6. Step 6: Final answer
    x = 107,338.28

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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.