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Finding the Fourth Proportional to 140,184.50, 193,457.25 and 76,524.57

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Solution

The fourth proportional to 140,184.50, 193,457.25 and 76,524.57 is: 105,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,184.50 : 193,457.25 = 76,524.57 : x
  2. Step 2: Convert to fraction form
    140,184.50/193,457.25 = 76,524.57/x
  3. Step 3: Cross multiply
    140,184.50x = 193,457.25 × 76,524.57
  4. Step 4: Simplify right side
    140,184.50x = 14,804,232,869.63
  5. Step 5: Solve for x
    x = 14,804,232,869.63/140,184.50
  6. Step 6: Final answer
    x = 105,605.35

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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.