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Finding the Fourth Proportional to 131,650.84, 197,228.40 and 65,013.22

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Solution

The fourth proportional to 131,650.84, 197,228.40 and 65,013.22 is: 97,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,650.84 : 197,228.40 = 65,013.22 : x
  2. Step 2: Convert to fraction form
    131,650.84/197,228.40 = 65,013.22/x
  3. Step 3: Cross multiply
    131,650.84x = 197,228.40 × 65,013.22
  4. Step 4: Simplify right side
    131,650.84x = 12,822,453,359.45
  5. Step 5: Solve for x
    x = 12,822,453,359.45/131,650.84
  6. Step 6: Final answer
    x = 97,397.43

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1.5x scale

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.