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Finding the Fourth Proportional to 106,817.49, 147,409.11 and 59,074.02

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Solution

The fourth proportional to 106,817.49, 147,409.11 and 59,074.02 is: 81,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817.49 : 147,409.11 = 59,074.02 : x
  2. Step 2: Convert to fraction form
    106,817.49/147,409.11 = 59,074.02/x
  3. Step 3: Cross multiply
    106,817.49x = 147,409.11 × 59,074.02
  4. Step 4: Simplify right side
    106,817.49x = 8,708,048,712.32
  5. Step 5: Solve for x
    x = 8,708,048,712.32/106,817.49
  6. Step 6: Final answer
    x = 81,522.69

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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.