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Finding the Fourth Proportional to 229,148.10, 316,262.41 and 133,654.80

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Solution

The fourth proportional to 229,148.10, 316,262.41 and 133,654.80 is: 184,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,148.10 : 316,262.41 = 133,654.80 : x
  2. Step 2: Convert to fraction form
    229,148.10/316,262.41 = 133,654.80/x
  3. Step 3: Cross multiply
    229,148.10x = 316,262.41 × 133,654.80
  4. Step 4: Simplify right side
    229,148.10x = 42,269,988,348.05
  5. Step 5: Solve for x
    x = 42,269,988,348.05/229,148.10
  6. Step 6: Final answer
    x = 184,465.80

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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.