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Finding the Fourth Proportional to 123,205.48, 184,809.68 and 48,360.87

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Solution

The fourth proportional to 123,205.48, 184,809.68 and 48,360.87 is: 72,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,205.48 : 184,809.68 = 48,360.87 : x
  2. Step 2: Convert to fraction form
    123,205.48/184,809.68 = 48,360.87/x
  3. Step 3: Cross multiply
    123,205.48x = 184,809.68 × 48,360.87
  4. Step 4: Simplify right side
    123,205.48x = 8,937,556,909.22
  5. Step 5: Solve for x
    x = 8,937,556,909.22/123,205.48
  6. Step 6: Final answer
    x = 72,541.88

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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.