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Finding the Fourth Proportional to 140,140.96, 193,392 and 76,477.12

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Solution

The fourth proportional to 140,140.96, 193,392 and 76,477.12 is: 105,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,140.96 : 193,392 = 76,477.12 : x
  2. Step 2: Convert to fraction form
    140,140.96/193,392 = 76,477.12/x
  3. Step 3: Cross multiply
    140,140.96x = 193,392 × 76,477.12
  4. Step 4: Simplify right side
    140,140.96x = 14,790,063,191.04
  5. Step 5: Solve for x
    x = 14,790,063,191.04/140,140.96
  6. Step 6: Final answer
    x = 105,537.05

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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.