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Finding the Fourth Proportional to 230,584.71, 318,354.95 and 144,661.51

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Solution

The fourth proportional to 230,584.71, 318,354.95 and 144,661.51 is: 199,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,584.71 : 318,354.95 = 144,661.51 : x
  2. Step 2: Convert to fraction form
    230,584.71/318,354.95 = 144,661.51/x
  3. Step 3: Cross multiply
    230,584.71x = 318,354.95 × 144,661.51
  4. Step 4: Simplify right side
    230,584.71x = 46,053,705,467.89
  5. Step 5: Solve for x
    x = 46,053,705,467.89/230,584.71
  6. Step 6: Final answer
    x = 199,725.76

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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.