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Finding the Fourth Proportional to 233,726.69, 322,542.71 and 126,296.69

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Solution

The fourth proportional to 233,726.69, 322,542.71 and 126,296.69 is: 174,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,726.69 : 322,542.71 = 126,296.69 : x
  2. Step 2: Convert to fraction form
    233,726.69/322,542.71 = 126,296.69/x
  3. Step 3: Cross multiply
    233,726.69x = 322,542.71 × 126,296.69
  4. Step 4: Simplify right side
    233,726.69x = 40,736,077,607.50
  5. Step 5: Solve for x
    x = 40,736,077,607.50/233,726.69
  6. Step 6: Final answer
    x = 174,289.37

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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.