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Finding the Fourth Proportional to 230,146.68, 317,511.18 and 140,774.52

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Solution

The fourth proportional to 230,146.68, 317,511.18 and 140,774.52 is: 194,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,146.68 : 317,511.18 = 140,774.52 : x
  2. Step 2: Convert to fraction form
    230,146.68/317,511.18 = 140,774.52/x
  3. Step 3: Cross multiply
    230,146.68x = 317,511.18 × 140,774.52
  4. Step 4: Simplify right side
    230,146.68x = 44,697,483,959.13
  5. Step 5: Solve for x
    x = 44,697,483,959.13/230,146.68
  6. Step 6: Final answer
    x = 194,213.03

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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.