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Finding the Fourth Proportional to 84,202.58, 116,147.58 and 50,188.16

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Solution

The fourth proportional to 84,202.58, 116,147.58 and 50,188.16 is: 69,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,202.58 : 116,147.58 = 50,188.16 : x
  2. Step 2: Convert to fraction form
    84,202.58/116,147.58 = 50,188.16/x
  3. Step 3: Cross multiply
    84,202.58x = 116,147.58 × 50,188.16
  4. Step 4: Simplify right side
    84,202.58x = 5,829,233,328.65
  5. Step 5: Solve for x
    x = 5,829,233,328.65/84,202.58
  6. Step 6: Final answer
    x = 69,228.68

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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.