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Finding the Fourth Proportional to 207,104.40, 310,459.73 and 132,013.80

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Solution

The fourth proportional to 207,104.40, 310,459.73 and 132,013.80 is: 197,895.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,104.40 : 310,459.73 = 132,013.80 : x
  2. Step 2: Convert to fraction form
    207,104.40/310,459.73 = 132,013.80/x
  3. Step 3: Cross multiply
    207,104.40x = 310,459.73 × 132,013.80
  4. Step 4: Simplify right side
    207,104.40x = 40,984,968,044.21
  5. Step 5: Solve for x
    x = 40,984,968,044.21/207,104.40
  6. Step 6: Final answer
    x = 197,895.21

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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.