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Finding the Fourth Proportional to 160,539.86, 240,857.31 and 55,369.46

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Solution

The fourth proportional to 160,539.86, 240,857.31 and 55,369.46 is: 83,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,539.86 : 240,857.31 = 55,369.46 : x
  2. Step 2: Convert to fraction form
    160,539.86/240,857.31 = 55,369.46/x
  3. Step 3: Cross multiply
    160,539.86x = 240,857.31 × 55,369.46
  4. Step 4: Simplify right side
    160,539.86x = 13,336,139,191.75
  5. Step 5: Solve for x
    x = 13,336,139,191.75/160,539.86
  6. Step 6: Final answer
    x = 83,070.58

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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.