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Finding the Fourth Proportional to 233,578.86, 322,338.80 and 126,148.91

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Solution

The fourth proportional to 233,578.86, 322,338.80 and 126,148.91 is: 174,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,578.86 : 322,338.80 = 126,148.91 : x
  2. Step 2: Convert to fraction form
    233,578.86/322,338.80 = 126,148.91/x
  3. Step 3: Cross multiply
    233,578.86x = 322,338.80 × 126,148.91
  4. Step 4: Simplify right side
    233,578.86x = 40,662,686,028.27
  5. Step 5: Solve for x
    x = 40,662,686,028.27/233,578.86
  6. Step 6: Final answer
    x = 174,085.47

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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.