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Finding the Fourth Proportional to 263,030.54, 362,895.06 and 148,294.82

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Solution

The fourth proportional to 263,030.54, 362,895.06 and 148,294.82 is: 204,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,030.54 : 362,895.06 = 148,294.82 : x
  2. Step 2: Convert to fraction form
    263,030.54/362,895.06 = 148,294.82/x
  3. Step 3: Cross multiply
    263,030.54x = 362,895.06 × 148,294.82
  4. Step 4: Simplify right side
    263,030.54x = 53,815,457,601.59
  5. Step 5: Solve for x
    x = 53,815,457,601.59/263,030.54
  6. Step 6: Final answer
    x = 204,597.75

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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.