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Finding the Fourth Proportional to 106,712.13, 147,258.02 and 58,964.45

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Solution

The fourth proportional to 106,712.13, 147,258.02 and 58,964.45 is: 81,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,712.13 : 147,258.02 = 58,964.45 : x
  2. Step 2: Convert to fraction form
    106,712.13/147,258.02 = 58,964.45/x
  3. Step 3: Cross multiply
    106,712.13x = 147,258.02 × 58,964.45
  4. Step 4: Simplify right side
    106,712.13x = 8,682,988,157.39
  5. Step 5: Solve for x
    x = 8,682,988,157.39/106,712.13
  6. Step 6: Final answer
    x = 81,368.33

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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.