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Finding the Fourth Proportional to 264,047.10, 396,070.65 and 97,899.90

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Solution

The fourth proportional to 264,047.10, 396,070.65 and 97,899.90 is: 146,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,047.10 : 396,070.65 = 97,899.90 : x
  2. Step 2: Convert to fraction form
    264,047.10/396,070.65 = 97,899.90/x
  3. Step 3: Cross multiply
    264,047.10x = 396,070.65 × 97,899.90
  4. Step 4: Simplify right side
    264,047.10x = 38,775,277,027.94
  5. Step 5: Solve for x
    x = 38,775,277,027.94/264,047.10
  6. Step 6: Final answer
    x = 146,849.85

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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.