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Finding the Fourth Proportional to 102,147.35, 153,027.81 and 57,805.92

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Solution

The fourth proportional to 102,147.35, 153,027.81 and 57,805.92 is: 86,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,147.35 : 153,027.81 = 57,805.92 : x
  2. Step 2: Convert to fraction form
    102,147.35/153,027.81 = 57,805.92/x
  3. Step 3: Cross multiply
    102,147.35x = 153,027.81 × 57,805.92
  4. Step 4: Simplify right side
    102,147.35x = 8,845,913,342.64
  5. Step 5: Solve for x
    x = 8,845,913,342.64/102,147.35
  6. Step 6: Final answer
    x = 86,599.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.