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Finding the Fourth Proportional to 145,962.80, 218,944.20 and 96,099.20

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Solution

The fourth proportional to 145,962.80, 218,944.20 and 96,099.20 is: 144,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,962.80 : 218,944.20 = 96,099.20 : x
  2. Step 2: Convert to fraction form
    145,962.80/218,944.20 = 96,099.20/x
  3. Step 3: Cross multiply
    145,962.80x = 218,944.20 × 96,099.20
  4. Step 4: Simplify right side
    145,962.80x = 21,040,362,464.64
  5. Step 5: Solve for x
    x = 21,040,362,464.64/145,962.80
  6. Step 6: Final answer
    x = 144,148.80

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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.