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Finding the Fourth Proportional to 136,029, 204,055.26 and 37,533

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Solution

The fourth proportional to 136,029, 204,055.26 and 37,533 is: 56,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,029 : 204,055.26 = 37,533 : x
  2. Step 2: Convert to fraction form
    136,029/204,055.26 = 37,533/x
  3. Step 3: Cross multiply
    136,029x = 204,055.26 × 37,533
  4. Step 4: Simplify right side
    136,029x = 7,658,806,073.58
  5. Step 5: Solve for x
    x = 7,658,806,073.58/136,029
  6. Step 6: Final answer
    x = 56,302.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.