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Finding the Fourth Proportional to 102,765.38, 141,815.75 and 57,443.31

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Solution

The fourth proportional to 102,765.38, 141,815.75 and 57,443.31 is: 79,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765.38 : 141,815.75 = 57,443.31 : x
  2. Step 2: Convert to fraction form
    102,765.38/141,815.75 = 57,443.31/x
  3. Step 3: Cross multiply
    102,765.38x = 141,815.75 × 57,443.31
  4. Step 4: Simplify right side
    102,765.38x = 8,146,365,802.92
  5. Step 5: Solve for x
    x = 8,146,365,802.92/102,765.38
  6. Step 6: Final answer
    x = 79,271.50

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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.