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Finding the Fourth Proportional to 230,847.44, 318,574.86 and 144,810.08

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Solution

The fourth proportional to 230,847.44, 318,574.86 and 144,810.08 is: 199,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,847.44 : 318,574.86 = 144,810.08 : x
  2. Step 2: Convert to fraction form
    230,847.44/318,574.86 = 144,810.08/x
  3. Step 3: Cross multiply
    230,847.44x = 318,574.86 × 144,810.08
  4. Step 4: Simplify right side
    230,847.44x = 46,132,850,021.33
  5. Step 5: Solve for x
    x = 46,132,850,021.33/230,847.44
  6. Step 6: Final answer
    x = 199,841.29

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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.