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Finding the Fourth Proportional to 106,756.38, 147,322.22 and 59,008.68

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Solution

The fourth proportional to 106,756.38, 147,322.22 and 59,008.68 is: 81,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,756.38 : 147,322.22 = 59,008.68 : x
  2. Step 2: Convert to fraction form
    106,756.38/147,322.22 = 59,008.68/x
  3. Step 3: Cross multiply
    106,756.38x = 147,322.22 × 59,008.68
  4. Step 4: Simplify right side
    106,756.38x = 8,693,289,441.83
  5. Step 5: Solve for x
    x = 8,693,289,441.83/106,756.38
  6. Step 6: Final answer
    x = 81,431.10

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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.