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Finding the Fourth Proportional to 123,897.94, 185,853.93 and 35,144.43

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Solution

The fourth proportional to 123,897.94, 185,853.93 and 35,144.43 is: 52,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,897.94 : 185,853.93 = 35,144.43 : x
  2. Step 2: Convert to fraction form
    123,897.94/185,853.93 = 35,144.43/x
  3. Step 3: Cross multiply
    123,897.94x = 185,853.93 × 35,144.43
  4. Step 4: Simplify right side
    123,897.94x = 6,531,730,433.11
  5. Step 5: Solve for x
    x = 6,531,730,433.11/123,897.94
  6. Step 6: Final answer
    x = 52,718.64

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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.