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Finding the Fourth Proportional to 123,245.10, 184,867.65 and 97,875.90

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Solution

The fourth proportional to 123,245.10, 184,867.65 and 97,875.90 is: 146,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,245.10 : 184,867.65 = 97,875.90 : x
  2. Step 2: Convert to fraction form
    123,245.10/184,867.65 = 97,875.90/x
  3. Step 3: Cross multiply
    123,245.10x = 184,867.65 × 97,875.90
  4. Step 4: Simplify right side
    123,245.10x = 18,094,087,624.64
  5. Step 5: Solve for x
    x = 18,094,087,624.64/123,245.10
  6. Step 6: Final answer
    x = 146,813.85

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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.