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Finding the Fourth Proportional to 128,261.50, 192,417.77 and 39,511.22

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Solution

The fourth proportional to 128,261.50, 192,417.77 and 39,511.22 is: 59,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,261.50 : 192,417.77 = 39,511.22 : x
  2. Step 2: Convert to fraction form
    128,261.50/192,417.77 = 39,511.22/x
  3. Step 3: Cross multiply
    128,261.50x = 192,417.77 × 39,511.22
  4. Step 4: Simplify right side
    128,261.50x = 7,602,660,842.38
  5. Step 5: Solve for x
    x = 7,602,660,842.38/128,261.50
  6. Step 6: Final answer
    x = 59,274.69

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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.