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Finding the Fourth Proportional to 210,613.49, 316,200.50 and 110,843.75

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Solution

The fourth proportional to 210,613.49, 316,200.50 and 110,843.75 is: 166,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,613.49 : 316,200.50 = 110,843.75 : x
  2. Step 2: Convert to fraction form
    210,613.49/316,200.50 = 110,843.75/x
  3. Step 3: Cross multiply
    210,613.49x = 316,200.50 × 110,843.75
  4. Step 4: Simplify right side
    210,613.49x = 35,048,849,408.16
  5. Step 5: Solve for x
    x = 35,048,849,408.16/210,613.49
  6. Step 6: Final answer
    x = 166,413.12

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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.