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Finding the Fourth Proportional to 230,216.30, 345,062.59 and 140,060.28

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Solution

The fourth proportional to 230,216.30, 345,062.59 and 140,060.28 is: 209,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,216.30 : 345,062.59 = 140,060.28 : x
  2. Step 2: Convert to fraction form
    230,216.30/345,062.59 = 140,060.28/x
  3. Step 3: Cross multiply
    230,216.30x = 345,062.59 × 140,060.28
  4. Step 4: Simplify right side
    230,216.30x = 48,329,560,547.31
  5. Step 5: Solve for x
    x = 48,329,560,547.31/230,216.30
  6. Step 6: Final answer
    x = 209,931.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.