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Finding the Fourth Proportional to 137,895.21, 190,297.95 and 76,647.13

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Solution

The fourth proportional to 137,895.21, 190,297.95 and 76,647.13 is: 105,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,895.21 : 190,297.95 = 76,647.13 : x
  2. Step 2: Convert to fraction form
    137,895.21/190,297.95 = 76,647.13/x
  3. Step 3: Cross multiply
    137,895.21x = 190,297.95 × 76,647.13
  4. Step 4: Simplify right side
    137,895.21x = 14,585,791,712.38
  5. Step 5: Solve for x
    x = 14,585,791,712.38/137,895.21
  6. Step 6: Final answer
    x = 105,774.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.