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Finding the Fourth Proportional to 208,211.66, 312,186.27 and 176,632.80

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Solution

The fourth proportional to 208,211.66, 312,186.27 and 176,632.80 is: 264,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,211.66 : 312,186.27 = 176,632.80 : x
  2. Step 2: Convert to fraction form
    208,211.66/312,186.27 = 176,632.80/x
  3. Step 3: Cross multiply
    208,211.66x = 312,186.27 × 176,632.80
  4. Step 4: Simplify right side
    208,211.66x = 55,142,334,991.66
  5. Step 5: Solve for x
    x = 55,142,334,991.66/208,211.66
  6. Step 6: Final answer
    x = 264,837.88

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1.5x scale

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.