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Finding the Fourth Proportional to 100,178, 138,249.96 and 55,466

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Solution

The fourth proportional to 100,178, 138,249.96 and 55,466 is: 76,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178 : 138,249.96 = 55,466 : x
  2. Step 2: Convert to fraction form
    100,178/138,249.96 = 55,466/x
  3. Step 3: Cross multiply
    100,178x = 138,249.96 × 55,466
  4. Step 4: Simplify right side
    100,178x = 7,668,172,281.36
  5. Step 5: Solve for x
    x = 7,668,172,281.36/100,178
  6. Step 6: Final answer
    x = 76,545.47

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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.