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Finding the Fourth Proportional to 106,993.40, 147,659.14 and 59,251.16

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Solution

The fourth proportional to 106,993.40, 147,659.14 and 59,251.16 is: 81,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,993.40 : 147,659.14 = 59,251.16 : x
  2. Step 2: Convert to fraction form
    106,993.40/147,659.14 = 59,251.16/x
  3. Step 3: Cross multiply
    106,993.40x = 147,659.14 × 59,251.16
  4. Step 4: Simplify right side
    106,993.40x = 8,748,975,329.60
  5. Step 5: Solve for x
    x = 8,748,975,329.60/106,993.40
  6. Step 6: Final answer
    x = 81,771.17

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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.