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Finding the Fourth Proportional to 231,516.01, 319,397.54 and 150,914.13

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Solution

The fourth proportional to 231,516.01, 319,397.54 and 150,914.13 is: 208,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,516.01 : 319,397.54 = 150,914.13 : x
  2. Step 2: Convert to fraction form
    231,516.01/319,397.54 = 150,914.13/x
  3. Step 3: Cross multiply
    231,516.01x = 319,397.54 × 150,914.13
  4. Step 4: Simplify right side
    231,516.01x = 48,201,601,873.24
  5. Step 5: Solve for x
    x = 48,201,601,873.24/231,516.01
  6. Step 6: Final answer
    x = 208,199.86

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1.5x scale

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.