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Finding the Fourth Proportional to 199,777.04, 275,700.68 and 114,894.16

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Solution

The fourth proportional to 199,777.04, 275,700.68 and 114,894.16 is: 158,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,777.04 : 275,700.68 = 114,894.16 : x
  2. Step 2: Convert to fraction form
    199,777.04/275,700.68 = 114,894.16/x
  3. Step 3: Cross multiply
    199,777.04x = 275,700.68 × 114,894.16
  4. Step 4: Simplify right side
    199,777.04x = 31,676,398,040.03
  5. Step 5: Solve for x
    x = 31,676,398,040.03/199,777.04
  6. Step 6: Final answer
    x = 158,558.75

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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.