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Finding the Fourth Proportional to 331,110, 456,931.80 and 180,208.08

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Solution

The fourth proportional to 331,110, 456,931.80 and 180,208.08 is: 248,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,110 : 456,931.80 = 180,208.08 : x
  2. Step 2: Convert to fraction form
    331,110/456,931.80 = 180,208.08/x
  3. Step 3: Cross multiply
    331,110x = 456,931.80 × 180,208.08
  4. Step 4: Simplify right side
    331,110x = 82,342,802,368.94
  5. Step 5: Solve for x
    x = 82,342,802,368.94/331,110
  6. Step 6: Final answer
    x = 248,687.15

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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.