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Finding the Fourth Proportional to 102,806.69, 153,783.56 and 96,508.13

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Solution

The fourth proportional to 102,806.69, 153,783.56 and 96,508.13 is: 144,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,806.69 : 153,783.56 = 96,508.13 : x
  2. Step 2: Convert to fraction form
    102,806.69/153,783.56 = 96,508.13/x
  3. Step 3: Cross multiply
    102,806.69x = 153,783.56 × 96,508.13
  4. Step 4: Simplify right side
    102,806.69x = 14,841,362,548.88
  5. Step 5: Solve for x
    x = 14,841,362,548.88/102,806.69
  6. Step 6: Final answer
    x = 144,361.84

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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.