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Finding the Fourth Proportional to 199,468.56, 275,292.21 and 114,602.04

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Solution

The fourth proportional to 199,468.56, 275,292.21 and 114,602.04 is: 158,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,468.56 : 275,292.21 = 114,602.04 : x
  2. Step 2: Convert to fraction form
    199,468.56/275,292.21 = 114,602.04/x
  3. Step 3: Cross multiply
    199,468.56x = 275,292.21 × 114,602.04
  4. Step 4: Simplify right side
    199,468.56x = 31,549,048,862.11
  5. Step 5: Solve for x
    x = 31,549,048,862.11/199,468.56
  6. Step 6: Final answer
    x = 158,165.52

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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.