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Finding the Fourth Proportional to 123,312.64, 184,970.24 and 43,352.84

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Solution

The fourth proportional to 123,312.64, 184,970.24 and 43,352.84 is: 65,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,312.64 : 184,970.24 = 43,352.84 : x
  2. Step 2: Convert to fraction form
    123,312.64/184,970.24 = 43,352.84/x
  3. Step 3: Cross multiply
    123,312.64x = 184,970.24 × 43,352.84
  4. Step 4: Simplify right side
    123,312.64x = 8,018,985,219.48
  5. Step 5: Solve for x
    x = 8,018,985,219.48/123,312.64
  6. Step 6: Final answer
    x = 65,029.71

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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.