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Finding the Fourth Proportional to 137,533.78, 189,797.30 and 77,106.97

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Solution

The fourth proportional to 137,533.78, 189,797.30 and 77,106.97 is: 106,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,533.78 : 189,797.30 = 77,106.97 : x
  2. Step 2: Convert to fraction form
    137,533.78/189,797.30 = 77,106.97/x
  3. Step 3: Cross multiply
    137,533.78x = 189,797.30 × 77,106.97
  4. Step 4: Simplify right side
    137,533.78x = 14,634,694,717.18
  5. Step 5: Solve for x
    x = 14,634,694,717.18/137,533.78
  6. Step 6: Final answer
    x = 106,408.00

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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.