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Finding the Fourth Proportional to 106,824, 147,411.32 and 59,074.56

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Solution

The fourth proportional to 106,824, 147,411.32 and 59,074.56 is: 81,519.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,824 : 147,411.32 = 59,074.56 : x
  2. Step 2: Convert to fraction form
    106,824/147,411.32 = 59,074.56/x
  3. Step 3: Cross multiply
    106,824x = 147,411.32 × 59,074.56
  4. Step 4: Simplify right side
    106,824x = 8,708,258,868.02
  5. Step 5: Solve for x
    x = 8,708,258,868.02/106,824
  6. Step 6: Final answer
    x = 81,519.69

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