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Finding the Fourth Proportional to 226,082.61, 312,026.45 and 135,442.40

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Solution

The fourth proportional to 226,082.61, 312,026.45 and 135,442.40 is: 186,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,082.61 : 312,026.45 = 135,442.40 : x
  2. Step 2: Convert to fraction form
    226,082.61/312,026.45 = 135,442.40/x
  3. Step 3: Cross multiply
    226,082.61x = 312,026.45 × 135,442.40
  4. Step 4: Simplify right side
    226,082.61x = 42,261,609,014.14
  5. Step 5: Solve for x
    x = 42,261,609,014.14/226,082.61
  6. Step 6: Final answer
    x = 186,929.94

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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.