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Finding the Fourth Proportional to 138,206.96, 190,729.28 and 77,779.76

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Solution

The fourth proportional to 138,206.96, 190,729.28 and 77,779.76 is: 107,338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,206.96 : 190,729.28 = 77,779.76 : x
  2. Step 2: Convert to fraction form
    138,206.96/190,729.28 = 77,779.76/x
  3. Step 3: Cross multiply
    138,206.96x = 190,729.28 × 77,779.76
  4. Step 4: Simplify right side
    138,206.96x = 14,834,877,623.37
  5. Step 5: Solve for x
    x = 14,834,877,623.37/138,206.96
  6. Step 6: Final answer
    x = 107,338.14

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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.