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Finding the Fourth Proportional to 138,928.02, 208,392 and 33,746.28

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Solution

The fourth proportional to 138,928.02, 208,392 and 33,746.28 is: 50,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,928.02 : 208,392 = 33,746.28 : x
  2. Step 2: Convert to fraction form
    138,928.02/208,392 = 33,746.28/x
  3. Step 3: Cross multiply
    138,928.02x = 208,392 × 33,746.28
  4. Step 4: Simplify right side
    138,928.02x = 7,032,454,781.76
  5. Step 5: Solve for x
    x = 7,032,454,781.76/138,928.02
  6. Step 6: Final answer
    x = 50,619.41

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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.