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Finding the Fourth Proportional to 199,655.52, 298,573.65 and 149,090.06

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Solution

The fourth proportional to 199,655.52, 298,573.65 and 149,090.06 is: 222,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,655.52 : 298,573.65 = 149,090.06 : x
  2. Step 2: Convert to fraction form
    199,655.52/298,573.65 = 149,090.06/x
  3. Step 3: Cross multiply
    199,655.52x = 298,573.65 × 149,090.06
  4. Step 4: Simplify right side
    199,655.52x = 44,514,363,392.92
  5. Step 5: Solve for x
    x = 44,514,363,392.92/199,655.52
  6. Step 6: Final answer
    x = 222,955.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.