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Finding the Fourth Proportional to 199,525.64, 275,345.26 and 114,642.50

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Solution

The fourth proportional to 199,525.64, 275,345.26 and 114,642.50 is: 158,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,525.64 : 275,345.26 = 114,642.50 : x
  2. Step 2: Convert to fraction form
    199,525.64/275,345.26 = 114,642.50/x
  3. Step 3: Cross multiply
    199,525.64x = 275,345.26 × 114,642.50
  4. Step 4: Simplify right side
    199,525.64x = 31,566,267,306.22
  5. Step 5: Solve for x
    x = 31,566,267,306.22/199,525.64
  6. Step 6: Final answer
    x = 158,206.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.