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Finding the Fourth Proportional to 106,898.33, 160,300.09 and 56,969.12

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Solution

The fourth proportional to 106,898.33, 160,300.09 and 56,969.12 is: 85,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,898.33 : 160,300.09 = 56,969.12 : x
  2. Step 2: Convert to fraction form
    106,898.33/160,300.09 = 56,969.12/x
  3. Step 3: Cross multiply
    106,898.33x = 160,300.09 × 56,969.12
  4. Step 4: Simplify right side
    106,898.33x = 9,132,155,063.22
  5. Step 5: Solve for x
    x = 9,132,155,063.22/106,898.33
  6. Step 6: Final answer
    x = 85,428.42

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1.5x scale

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.