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Finding the Fourth Proportional to 138,985.68, 208,476.78 and 33,804.72

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Solution

The fourth proportional to 138,985.68, 208,476.78 and 33,804.72 is: 50,706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,985.68 : 208,476.78 = 33,804.72 : x
  2. Step 2: Convert to fraction form
    138,985.68/208,476.78 = 33,804.72/x
  3. Step 3: Cross multiply
    138,985.68x = 208,476.78 × 33,804.72
  4. Step 4: Simplify right side
    138,985.68x = 7,047,499,174.40
  5. Step 5: Solve for x
    x = 7,047,499,174.40/138,985.68
  6. Step 6: Final answer
    x = 50,706.66

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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.