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Finding the Fourth Proportional to 264,020.10, 396,030.15 and 97,872.90

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Solution

The fourth proportional to 264,020.10, 396,030.15 and 97,872.90 is: 146,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,020.10 : 396,030.15 = 97,872.90 : x
  2. Step 2: Convert to fraction form
    264,020.10/396,030.15 = 97,872.90/x
  3. Step 3: Cross multiply
    264,020.10x = 396,030.15 × 97,872.90
  4. Step 4: Simplify right side
    264,020.10x = 38,760,619,267.94
  5. Step 5: Solve for x
    x = 38,760,619,267.94/264,020.10
  6. Step 6: Final answer
    x = 146,809.35

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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.