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Finding the Fourth Proportional to 84,202.50, 116,199.46 and 46,476.76

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Solution

The fourth proportional to 84,202.50, 116,199.46 and 46,476.76 is: 64,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,202.50 : 116,199.46 = 46,476.76 : x
  2. Step 2: Convert to fraction form
    84,202.50/116,199.46 = 46,476.76/x
  3. Step 3: Cross multiply
    84,202.50x = 116,199.46 × 46,476.76
  4. Step 4: Simplify right side
    84,202.50x = 5,400,574,414.55
  5. Step 5: Solve for x
    x = 5,400,574,414.55/84,202.50
  6. Step 6: Final answer
    x = 64,137.93

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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.