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Finding the Fourth Proportional to 116,114.44, 160,271.94 and 75,834.46

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Solution

The fourth proportional to 116,114.44, 160,271.94 and 75,834.46 is: 104,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,114.44 : 160,271.94 = 75,834.46 : x
  2. Step 2: Convert to fraction form
    116,114.44/160,271.94 = 75,834.46/x
  3. Step 3: Cross multiply
    116,114.44x = 160,271.94 × 75,834.46
  4. Step 4: Simplify right side
    116,114.44x = 12,154,136,023.05
  5. Step 5: Solve for x
    x = 12,154,136,023.05/116,114.44
  6. Step 6: Final answer
    x = 104,673.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.