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Finding the Fourth Proportional to 105,027.55, 157,541.33 and 105,027.55

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Solution

The fourth proportional to 105,027.55, 157,541.33 and 105,027.55 is: 157,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,027.55 : 157,541.33 = 105,027.55 : x
  2. Step 2: Convert to fraction form
    105,027.55/157,541.33 = 105,027.55/x
  3. Step 3: Cross multiply
    105,027.55x = 157,541.33 × 105,027.55
  4. Step 4: Simplify right side
    105,027.55x = 16,546,179,388.50
  5. Step 5: Solve for x
    x = 16,546,179,388.50/105,027.55
  6. Step 6: Final answer
    x = 157,541.33

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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.