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Finding the Fourth Proportional to 106,804.90, 147,369.41 and 59,049.02

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Solution

The fourth proportional to 106,804.90, 147,369.41 and 59,049.02 is: 81,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,804.90 : 147,369.41 = 59,049.02 : x
  2. Step 2: Convert to fraction form
    106,804.90/147,369.41 = 59,049.02/x
  3. Step 3: Cross multiply
    106,804.90x = 147,369.41 × 59,049.02
  4. Step 4: Simplify right side
    106,804.90x = 8,702,019,533.09
  5. Step 5: Solve for x
    x = 8,702,019,533.09/106,804.90
  6. Step 6: Final answer
    x = 81,475.84

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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.