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Finding the Fourth Proportional to 134,264.52, 185,274.54 and 77,664.96

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Solution

The fourth proportional to 134,264.52, 185,274.54 and 77,664.96 is: 107,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,264.52 : 185,274.54 = 77,664.96 : x
  2. Step 2: Convert to fraction form
    134,264.52/185,274.54 = 77,664.96/x
  3. Step 3: Cross multiply
    134,264.52x = 185,274.54 × 77,664.96
  4. Step 4: Simplify right side
    134,264.52x = 14,389,339,738.12
  5. Step 5: Solve for x
    x = 14,389,339,738.12/134,264.52
  6. Step 6: Final answer
    x = 107,171.57

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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.