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Finding the Fourth Proportional to 106,858.70, 147,464.39 and 59,111.01

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Solution

The fourth proportional to 106,858.70, 147,464.39 and 59,111.01 is: 81,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,858.70 : 147,464.39 = 59,111.01 : x
  2. Step 2: Convert to fraction form
    106,858.70/147,464.39 = 59,111.01/x
  3. Step 3: Cross multiply
    106,858.70x = 147,464.39 × 59,111.01
  4. Step 4: Simplify right side
    106,858.70x = 8,716,768,736.38
  5. Step 5: Solve for x
    x = 8,716,768,736.38/106,858.70
  6. Step 6: Final answer
    x = 81,572.85

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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.