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Finding the Fourth Proportional to 123,078, 184,598.28 and 34,322.16

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Solution

The fourth proportional to 123,078, 184,598.28 and 34,322.16 is: 51,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,078 : 184,598.28 = 34,322.16 : x
  2. Step 2: Convert to fraction form
    123,078/184,598.28 = 34,322.16/x
  3. Step 3: Cross multiply
    123,078x = 184,598.28 × 34,322.16
  4. Step 4: Simplify right side
    123,078x = 6,335,811,701.88
  5. Step 5: Solve for x
    x = 6,335,811,701.88/123,078
  6. Step 6: Final answer
    x = 51,478.02

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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.