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Finding the Fourth Proportional to 230,602.30, 318,182.79 and 140,005.96

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Solution

The fourth proportional to 230,602.30, 318,182.79 and 140,005.96 is: 193,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,602.30 : 318,182.79 = 140,005.96 : x
  2. Step 2: Convert to fraction form
    230,602.30/318,182.79 = 140,005.96/x
  3. Step 3: Cross multiply
    230,602.30x = 318,182.79 × 140,005.96
  4. Step 4: Simplify right side
    230,602.30x = 44,547,486,969.43
  5. Step 5: Solve for x
    x = 44,547,486,969.43/230,602.30
  6. Step 6: Final answer
    x = 193,178.85

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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.