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Finding the Fourth Proportional to 148,415.92, 204,824.04 and 83,862.80

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Solution

The fourth proportional to 148,415.92, 204,824.04 and 83,862.80 is: 115,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,415.92 : 204,824.04 = 83,862.80 : x
  2. Step 2: Convert to fraction form
    148,415.92/204,824.04 = 83,862.80/x
  3. Step 3: Cross multiply
    148,415.92x = 204,824.04 × 83,862.80
  4. Step 4: Simplify right side
    148,415.92x = 17,177,117,501.71
  5. Step 5: Solve for x
    x = 17,177,117,501.71/148,415.92
  6. Step 6: Final answer
    x = 115,736.35

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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.