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Finding the Fourth Proportional to 123,280.28, 184,941.53 and 39,038.86

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Solution

The fourth proportional to 123,280.28, 184,941.53 and 39,038.86 is: 58,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,280.28 : 184,941.53 = 39,038.86 : x
  2. Step 2: Convert to fraction form
    123,280.28/184,941.53 = 39,038.86/x
  3. Step 3: Cross multiply
    123,280.28x = 184,941.53 × 39,038.86
  4. Step 4: Simplify right side
    123,280.28x = 7,219,906,680.23
  5. Step 5: Solve for x
    x = 7,219,906,680.23/123,280.28
  6. Step 6: Final answer
    x = 58,564.98

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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.