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Finding the Fourth Proportional to 270,644.30, 405,966.45 and 83,713.10

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Solution

The fourth proportional to 270,644.30, 405,966.45 and 83,713.10 is: 125,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,644.30 : 405,966.45 = 83,713.10 : x
  2. Step 2: Convert to fraction form
    270,644.30/405,966.45 = 83,713.10/x
  3. Step 3: Cross multiply
    270,644.30x = 405,966.45 × 83,713.10
  4. Step 4: Simplify right side
    270,644.30x = 33,984,710,025.50
  5. Step 5: Solve for x
    x = 33,984,710,025.50/270,644.30
  6. Step 6: Final answer
    x = 125,569.65

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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.