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Finding the Fourth Proportional to 120,644.07, 180,966.11 and 65,348.07

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Solution

The fourth proportional to 120,644.07, 180,966.11 and 65,348.07 is: 98,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,644.07 : 180,966.11 = 65,348.07 : x
  2. Step 2: Convert to fraction form
    120,644.07/180,966.11 = 65,348.07/x
  3. Step 3: Cross multiply
    120,644.07x = 180,966.11 × 65,348.07
  4. Step 4: Simplify right side
    120,644.07x = 11,825,785,697.17
  5. Step 5: Solve for x
    x = 11,825,785,697.17/120,644.07
  6. Step 6: Final answer
    x = 98,022.11

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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.