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Finding the Fourth Proportional to 264,906.10, 397,051.95 and 107,030.90

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Solution

The fourth proportional to 264,906.10, 397,051.95 and 107,030.90 is: 160,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906.10 : 397,051.95 = 107,030.90 : x
  2. Step 2: Convert to fraction form
    264,906.10/397,051.95 = 107,030.90/x
  3. Step 3: Cross multiply
    264,906.10x = 397,051.95 × 107,030.90
  4. Step 4: Simplify right side
    264,906.10x = 42,496,827,555.26
  5. Step 5: Solve for x
    x = 42,496,827,555.26/264,906.10
  6. Step 6: Final answer
    x = 160,422.23

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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.