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Finding the Fourth Proportional to 230,519, 345,695.43 and 97,409.64

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Solution

The fourth proportional to 230,519, 345,695.43 and 97,409.64 is: 146,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,519 : 345,695.43 = 97,409.64 : x
  2. Step 2: Convert to fraction form
    230,519/345,695.43 = 97,409.64/x
  3. Step 3: Cross multiply
    230,519x = 345,695.43 × 97,409.64
  4. Step 4: Simplify right side
    230,519x = 33,674,067,385.95
  5. Step 5: Solve for x
    x = 33,674,067,385.95/230,519
  6. Step 6: Final answer
    x = 146,079.36

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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.