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Finding the Fourth Proportional to 205,053.88, 282,967.73 and 111,916.03

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Solution

The fourth proportional to 205,053.88, 282,967.73 and 111,916.03 is: 154,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,053.88 : 282,967.73 = 111,916.03 : x
  2. Step 2: Convert to fraction form
    205,053.88/282,967.73 = 111,916.03/x
  3. Step 3: Cross multiply
    205,053.88x = 282,967.73 × 111,916.03
  4. Step 4: Simplify right side
    205,053.88x = 31,668,624,642.96
  5. Step 5: Solve for x
    x = 31,668,624,642.96/205,053.88
  6. Step 6: Final answer
    x = 154,440.50

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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.