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Finding the Fourth Proportional to 230,830.56, 318,547.49 and 135,338.85

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Solution

The fourth proportional to 230,830.56, 318,547.49 and 135,338.85 is: 186,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830.56 : 318,547.49 = 135,338.85 : x
  2. Step 2: Convert to fraction form
    230,830.56/318,547.49 = 135,338.85/x
  3. Step 3: Cross multiply
    230,830.56x = 318,547.49 × 135,338.85
  4. Step 4: Simplify right side
    230,830.56x = 43,111,850,290.29
  5. Step 5: Solve for x
    x = 43,111,850,290.29/230,830.56
  6. Step 6: Final answer
    x = 186,768.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.