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Finding the Fourth Proportional to 99,757.04, 149,733.96 and 53,009.84

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Solution

The fourth proportional to 99,757.04, 149,733.96 and 53,009.84 is: 79,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,757.04 : 149,733.96 = 53,009.84 : x
  2. Step 2: Convert to fraction form
    99,757.04/149,733.96 = 53,009.84/x
  3. Step 3: Cross multiply
    99,757.04x = 149,733.96 × 53,009.84
  4. Step 4: Simplify right side
    99,757.04x = 7,937,373,262.17
  5. Step 5: Solve for x
    x = 7,937,373,262.17/99,757.04
  6. Step 6: Final answer
    x = 79,567.05

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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.