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Finding the Fourth Proportional to 193,506.64, 267,048.03 and 107,466

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Solution

The fourth proportional to 193,506.64, 267,048.03 and 107,466 is: 148,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,506.64 : 267,048.03 = 107,466 : x
  2. Step 2: Convert to fraction form
    193,506.64/267,048.03 = 107,466/x
  3. Step 3: Cross multiply
    193,506.64x = 267,048.03 × 107,466
  4. Step 4: Simplify right side
    193,506.64x = 28,698,583,591.98
  5. Step 5: Solve for x
    x = 28,698,583,591.98/193,506.64
  6. Step 6: Final answer
    x = 148,308.00

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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.