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Finding the Fourth Proportional to 106,557.54, 159,784.47 and 56,661.54

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Solution

The fourth proportional to 106,557.54, 159,784.47 and 56,661.54 is: 84,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,557.54 : 159,784.47 = 56,661.54 : x
  2. Step 2: Convert to fraction form
    106,557.54/159,784.47 = 56,661.54/x
  3. Step 3: Cross multiply
    106,557.54x = 159,784.47 × 56,661.54
  4. Step 4: Simplify right side
    106,557.54x = 9,053,634,138.28
  5. Step 5: Solve for x
    x = 9,053,634,138.28/106,557.54
  6. Step 6: Final answer
    x = 84,964.74

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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.