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Finding the Fourth Proportional to 99,507.94, 149,106.16 and 39,504.01

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Solution

The fourth proportional to 99,507.94, 149,106.16 and 39,504.01 is: 59,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,507.94 : 149,106.16 = 39,504.01 : x
  2. Step 2: Convert to fraction form
    99,507.94/149,106.16 = 39,504.01/x
  3. Step 3: Cross multiply
    99,507.94x = 149,106.16 × 39,504.01
  4. Step 4: Simplify right side
    99,507.94x = 5,890,291,379.85
  5. Step 5: Solve for x
    x = 5,890,291,379.85/99,507.94
  6. Step 6: Final answer
    x = 59,194.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.