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Finding the Fourth Proportional to 230,407.25, 318,022.13 and 150,055.25

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Solution

The fourth proportional to 230,407.25, 318,022.13 and 150,055.25 is: 207,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,407.25 : 318,022.13 = 150,055.25 : x
  2. Step 2: Convert to fraction form
    230,407.25/318,022.13 = 150,055.25/x
  3. Step 3: Cross multiply
    230,407.25x = 318,022.13 × 150,055.25
  4. Step 4: Simplify right side
    230,407.25x = 47,720,889,007.71
  5. Step 5: Solve for x
    x = 47,720,889,007.71/230,407.25
  6. Step 6: Final answer
    x = 207,115.40

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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.