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Finding the Fourth Proportional to 229,630.82, 344,369.54 and 96,486.26

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Solution

The fourth proportional to 229,630.82, 344,369.54 and 96,486.26 is: 144,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,630.82 : 344,369.54 = 96,486.26 : x
  2. Step 2: Convert to fraction form
    229,630.82/344,369.54 = 96,486.26/x
  3. Step 3: Cross multiply
    229,630.82x = 344,369.54 × 96,486.26
  4. Step 4: Simplify right side
    229,630.82x = 33,226,927,491.89
  5. Step 5: Solve for x
    x = 33,226,927,491.89/229,630.82
  6. Step 6: Final answer
    x = 144,697.16

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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.