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Finding the Fourth Proportional to 105,039.33, 144,953.60 and 59,717.33

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Solution

The fourth proportional to 105,039.33, 144,953.60 and 59,717.33 is: 82,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,039.33 : 144,953.60 = 59,717.33 : x
  2. Step 2: Convert to fraction form
    105,039.33/144,953.60 = 59,717.33/x
  3. Step 3: Cross multiply
    105,039.33x = 144,953.60 × 59,717.33
  4. Step 4: Simplify right side
    105,039.33x = 8,656,242,637.38
  5. Step 5: Solve for x
    x = 8,656,242,637.38/105,039.33
  6. Step 6: Final answer
    x = 82,409.54

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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.