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Finding the Fourth Proportional to 106,779.15, 160,122.24 and 56,848.11

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Solution

The fourth proportional to 106,779.15, 160,122.24 and 56,848.11 is: 85,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,779.15 : 160,122.24 = 56,848.11 : x
  2. Step 2: Convert to fraction form
    106,779.15/160,122.24 = 56,848.11/x
  3. Step 3: Cross multiply
    106,779.15x = 160,122.24 × 56,848.11
  4. Step 4: Simplify right side
    106,779.15x = 9,102,646,712.97
  5. Step 5: Solve for x
    x = 9,102,646,712.97/106,779.15
  6. Step 6: Final answer
    x = 85,247.42

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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.