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Finding the Fourth Proportional to 230,751.88, 346,164.41 and 97,633.13

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Solution

The fourth proportional to 230,751.88, 346,164.41 and 97,633.13 is: 146,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,751.88 : 346,164.41 = 97,633.13 : x
  2. Step 2: Convert to fraction form
    230,751.88/346,164.41 = 97,633.13/x
  3. Step 3: Cross multiply
    230,751.88x = 346,164.41 × 97,633.13
  4. Step 4: Simplify right side
    230,751.88x = 33,797,113,356.16
  5. Step 5: Solve for x
    x = 33,797,113,356.16/230,751.88
  6. Step 6: Final answer
    x = 146,465.17

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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.