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Finding the Fourth Proportional to 123,076, 184,595.28 and 34,320.16

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Solution

The fourth proportional to 123,076, 184,595.28 and 34,320.16 is: 51,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,076 : 184,595.28 = 34,320.16 : x
  2. Step 2: Convert to fraction form
    123,076/184,595.28 = 34,320.16/x
  3. Step 3: Cross multiply
    123,076x = 184,595.28 × 34,320.16
  4. Step 4: Simplify right side
    123,076x = 6,335,339,544.84
  5. Step 5: Solve for x
    x = 6,335,339,544.84/123,076
  6. Step 6: Final answer
    x = 51,475.02

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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.