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Finding the Fourth Proportional to 120,533.44, 180,797.12 and 41,640.16

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Solution

The fourth proportional to 120,533.44, 180,797.12 and 41,640.16 is: 62,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,533.44 : 180,797.12 = 41,640.16 : x
  2. Step 2: Convert to fraction form
    120,533.44/180,797.12 = 41,640.16/x
  3. Step 3: Cross multiply
    120,533.44x = 180,797.12 × 41,640.16
  4. Step 4: Simplify right side
    120,533.44x = 7,528,421,004.34
  5. Step 5: Solve for x
    x = 7,528,421,004.34/120,533.44
  6. Step 6: Final answer
    x = 62,459.19

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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.