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Finding the Fourth Proportional to 114,273.54, 157,678.74 and 71,802

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Solution

The fourth proportional to 114,273.54, 157,678.74 and 71,802 is: 99,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,273.54 : 157,678.74 = 71,802 : x
  2. Step 2: Convert to fraction form
    114,273.54/157,678.74 = 71,802/x
  3. Step 3: Cross multiply
    114,273.54x = 157,678.74 × 71,802
  4. Step 4: Simplify right side
    114,273.54x = 11,321,648,889.48
  5. Step 5: Solve for x
    x = 11,321,648,889.48/114,273.54
  6. Step 6: Final answer
    x = 99,074.98

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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.