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Finding the Fourth Proportional to 199,535, 275,358.66 and 110,111

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Solution

The fourth proportional to 199,535, 275,358.66 and 110,111 is: 151,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,535 : 275,358.66 = 110,111 : x
  2. Step 2: Convert to fraction form
    199,535/275,358.66 = 110,111/x
  3. Step 3: Cross multiply
    199,535x = 275,358.66 × 110,111
  4. Step 4: Simplify right side
    199,535x = 30,320,017,411.26
  5. Step 5: Solve for x
    x = 30,320,017,411.26/199,535
  6. Step 6: Final answer
    x = 151,953.38

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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.