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Finding the Fourth Proportional to 207,103.94, 310,459.06 and 132,013.30

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Solution

The fourth proportional to 207,103.94, 310,459.06 and 132,013.30 is: 197,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,103.94 : 310,459.06 = 132,013.30 : x
  2. Step 2: Convert to fraction form
    207,103.94/310,459.06 = 132,013.30/x
  3. Step 3: Cross multiply
    207,103.94x = 310,459.06 × 132,013.30
  4. Step 4: Simplify right side
    207,103.94x = 40,984,725,025.50
  5. Step 5: Solve for x
    x = 40,984,725,025.50/207,103.94
  6. Step 6: Final answer
    x = 197,894.47

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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.