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Finding the Fourth Proportional to 136,543, 204,849.06 and 38,047

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Solution

The fourth proportional to 136,543, 204,849.06 and 38,047 is: 57,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,543 : 204,849.06 = 38,047 : x
  2. Step 2: Convert to fraction form
    136,543/204,849.06 = 38,047/x
  3. Step 3: Cross multiply
    136,543x = 204,849.06 × 38,047
  4. Step 4: Simplify right side
    136,543x = 7,793,892,185.82
  5. Step 5: Solve for x
    x = 7,793,892,185.82/136,543
  6. Step 6: Final answer
    x = 57,080.13

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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.