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Finding the Fourth Proportional to 127,914.72, 191,762.64 and 49,085.52

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Solution

The fourth proportional to 127,914.72, 191,762.64 and 49,085.52 is: 73,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,914.72 : 191,762.64 = 49,085.52 : x
  2. Step 2: Convert to fraction form
    127,914.72/191,762.64 = 49,085.52/x
  3. Step 3: Cross multiply
    127,914.72x = 191,762.64 × 49,085.52
  4. Step 4: Simplify right side
    127,914.72x = 9,412,768,900.97
  5. Step 5: Solve for x
    x = 9,412,768,900.97/127,914.72
  6. Step 6: Final answer
    x = 73,586.28

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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.