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Finding the Fourth Proportional to 128,853.96, 193,294.16 and 44,614

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Solution

The fourth proportional to 128,853.96, 193,294.16 and 44,614 is: 66,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,853.96 : 193,294.16 = 44,614 : x
  2. Step 2: Convert to fraction form
    128,853.96/193,294.16 = 44,614/x
  3. Step 3: Cross multiply
    128,853.96x = 193,294.16 × 44,614
  4. Step 4: Simplify right side
    128,853.96x = 8,623,625,654.24
  5. Step 5: Solve for x
    x = 8,623,625,654.24/128,853.96
  6. Step 6: Final answer
    x = 66,925.58

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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.