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Finding the Fourth Proportional to 134,043.94, 201,056.31 and 77,848.97

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Solution

The fourth proportional to 134,043.94, 201,056.31 and 77,848.97 is: 116,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,043.94 : 201,056.31 = 77,848.97 : x
  2. Step 2: Convert to fraction form
    134,043.94/201,056.31 = 77,848.97/x
  3. Step 3: Cross multiply
    134,043.94x = 201,056.31 × 77,848.97
  4. Step 4: Simplify right side
    134,043.94x = 15,652,026,645.50
  5. Step 5: Solve for x
    x = 15,652,026,645.50/134,043.94
  6. Step 6: Final answer
    x = 116,767.88

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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.