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Finding the Fourth Proportional to 230,320.82, 317,844 and 133,582.02

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Solution

The fourth proportional to 230,320.82, 317,844 and 133,582.02 is: 184,343.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,320.82 : 317,844 = 133,582.02 : x
  2. Step 2: Convert to fraction form
    230,320.82/317,844 = 133,582.02/x
  3. Step 3: Cross multiply
    230,320.82x = 317,844 × 133,582.02
  4. Step 4: Simplify right side
    230,320.82x = 42,458,242,372.97
  5. Step 5: Solve for x
    x = 42,458,242,372.97/230,320.82
  6. Step 6: Final answer
    x = 184,343.92

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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.