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Finding the Fourth Proportional to 114,364, 171,557.92 and 31,258.08

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Solution

The fourth proportional to 114,364, 171,557.92 and 31,258.08 is: 46,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,364 : 171,557.92 = 31,258.08 : x
  2. Step 2: Convert to fraction form
    114,364/171,557.92 = 31,258.08/x
  3. Step 3: Cross multiply
    114,364x = 171,557.92 × 31,258.08
  4. Step 4: Simplify right side
    114,364x = 5,362,571,187.99
  5. Step 5: Solve for x
    x = 5,362,571,187.99/114,364
  6. Step 6: Final answer
    x = 46,890.38

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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.