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Finding the Fourth Proportional to 221,424.75, 305,564.54 and 125,931.33

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Solution

The fourth proportional to 221,424.75, 305,564.54 and 125,931.33 is: 173,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,424.75 : 305,564.54 = 125,931.33 : x
  2. Step 2: Convert to fraction form
    221,424.75/305,564.54 = 125,931.33/x
  3. Step 3: Cross multiply
    221,424.75x = 305,564.54 × 125,931.33
  4. Step 4: Simplify right side
    221,424.75x = 38,480,148,293.38
  5. Step 5: Solve for x
    x = 38,480,148,293.38/221,424.75
  6. Step 6: Final answer
    x = 173,784.31

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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.