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Finding the Fourth Proportional to 137,648.88, 189,969.84 and 77,235.84

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Solution

The fourth proportional to 137,648.88, 189,969.84 and 77,235.84 is: 106,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,648.88 : 189,969.84 = 77,235.84 : x
  2. Step 2: Convert to fraction form
    137,648.88/189,969.84 = 77,235.84/x
  3. Step 3: Cross multiply
    137,648.88x = 189,969.84 × 77,235.84
  4. Step 4: Simplify right side
    137,648.88x = 14,672,480,167.07
  5. Step 5: Solve for x
    x = 14,672,480,167.07/137,648.88
  6. Step 6: Final answer
    x = 106,593.53

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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.