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Finding the Fourth Proportional to 229,710.96, 344,436.84 and 71,897.04

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Solution

The fourth proportional to 229,710.96, 344,436.84 and 71,897.04 is: 107,805.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,710.96 : 344,436.84 = 71,897.04 : x
  2. Step 2: Convert to fraction form
    229,710.96/344,436.84 = 71,897.04/x
  3. Step 3: Cross multiply
    229,710.96x = 344,436.84 × 71,897.04
  4. Step 4: Simplify right side
    229,710.96x = 24,763,989,262.95
  5. Step 5: Solve for x
    x = 24,763,989,262.95/229,710.96
  6. Step 6: Final answer
    x = 107,805.00

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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.