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Finding the Fourth Proportional to 199,752.48, 275,717.52 and 114,929.28

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Solution

The fourth proportional to 199,752.48, 275,717.52 and 114,929.28 is: 158,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,752.48 : 275,717.52 = 114,929.28 : x
  2. Step 2: Convert to fraction form
    199,752.48/275,717.52 = 114,929.28/x
  3. Step 3: Cross multiply
    199,752.48x = 275,717.52 × 114,929.28
  4. Step 4: Simplify right side
    199,752.48x = 31,688,016,056.99
  5. Step 5: Solve for x
    x = 31,688,016,056.99/199,752.48
  6. Step 6: Final answer
    x = 158,636.41

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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.