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Finding the Fourth Proportional to 229,703.04, 344,464.32 and 96,647.04

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Solution

The fourth proportional to 229,703.04, 344,464.32 and 96,647.04 is: 144,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,703.04 : 344,464.32 = 96,647.04 : x
  2. Step 2: Convert to fraction form
    229,703.04/344,464.32 = 96,647.04/x
  3. Step 3: Cross multiply
    229,703.04x = 344,464.32 × 96,647.04
  4. Step 4: Simplify right side
    229,703.04x = 33,291,456,913.61
  5. Step 5: Solve for x
    x = 33,291,456,913.61/229,703.04
  6. Step 6: Final answer
    x = 144,932.59

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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.