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Finding the Fourth Proportional to 106,898.58, 160,300.47 and 56,969.37

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Solution

The fourth proportional to 106,898.58, 160,300.47 and 56,969.37 is: 85,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,898.58 : 160,300.47 = 56,969.37 : x
  2. Step 2: Convert to fraction form
    106,898.58/160,300.47 = 56,969.37/x
  3. Step 3: Cross multiply
    106,898.58x = 160,300.47 × 56,969.37
  4. Step 4: Simplify right side
    106,898.58x = 9,132,216,786.60
  5. Step 5: Solve for x
    x = 9,132,216,786.60/106,898.58
  6. Step 6: Final answer
    x = 85,428.79

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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.