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Finding the Fourth Proportional to 100,134, 138,185.13 and 54,814.89

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Solution

The fourth proportional to 100,134, 138,185.13 and 54,814.89 is: 75,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,134 : 138,185.13 = 54,814.89 : x
  2. Step 2: Convert to fraction form
    100,134/138,185.13 = 54,814.89/x
  3. Step 3: Cross multiply
    100,134x = 138,185.13 × 54,814.89
  4. Step 4: Simplify right side
    100,134x = 7,574,602,700.59
  5. Step 5: Solve for x
    x = 7,574,602,700.59/100,134
  6. Step 6: Final answer
    x = 75,644.66

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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.