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Finding the Fourth Proportional to 199,411.84, 275,032.80 and 127,798.56

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Solution

The fourth proportional to 199,411.84, 275,032.80 and 127,798.56 is: 176,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.84 : 275,032.80 = 127,798.56 : x
  2. Step 2: Convert to fraction form
    199,411.84/275,032.80 = 127,798.56/x
  3. Step 3: Cross multiply
    199,411.84x = 275,032.80 × 127,798.56
  4. Step 4: Simplify right side
    199,411.84x = 35,148,795,792.77
  5. Step 5: Solve for x
    x = 35,148,795,792.77/199,411.84
  6. Step 6: Final answer
    x = 176,262.33

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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.