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Finding the Fourth Proportional to 202,435.60, 303,739.80 and 97,200.40

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Solution

The fourth proportional to 202,435.60, 303,739.80 and 97,200.40 is: 145,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,435.60 : 303,739.80 = 97,200.40 : x
  2. Step 2: Convert to fraction form
    202,435.60/303,739.80 = 97,200.40/x
  3. Step 3: Cross multiply
    202,435.60x = 303,739.80 × 97,200.40
  4. Step 4: Simplify right side
    202,435.60x = 29,523,630,055.92
  5. Step 5: Solve for x
    x = 29,523,630,055.92/202,435.60
  6. Step 6: Final answer
    x = 145,842.09

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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.