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Finding the Fourth Proportional to 182,408.64, 273,655.10 and 57,749.64

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Solution

The fourth proportional to 182,408.64, 273,655.10 and 57,749.64 is: 86,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,408.64 : 273,655.10 = 57,749.64 : x
  2. Step 2: Convert to fraction form
    182,408.64/273,655.10 = 57,749.64/x
  3. Step 3: Cross multiply
    182,408.64x = 273,655.10 × 57,749.64
  4. Step 4: Simplify right side
    182,408.64x = 15,803,483,509.16
  5. Step 5: Solve for x
    x = 15,803,483,509.16/182,408.64
  6. Step 6: Final answer
    x = 86,637.80

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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.