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Finding the Fourth Proportional to 233,578.71, 322,338.54 and 126,148.77

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Solution

The fourth proportional to 233,578.71, 322,338.54 and 126,148.77 is: 174,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,578.71 : 322,338.54 = 126,148.77 : x
  2. Step 2: Convert to fraction form
    233,578.71/322,338.54 = 126,148.77/x
  3. Step 3: Cross multiply
    233,578.71x = 322,338.54 × 126,148.77
  4. Step 4: Simplify right side
    233,578.71x = 40,662,610,344.60
  5. Step 5: Solve for x
    x = 40,662,610,344.60/233,578.71
  6. Step 6: Final answer
    x = 174,085.26

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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.