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Finding the Fourth Proportional to 202,158.20, 302,654.10 and 123,426.20

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Solution

The fourth proportional to 202,158.20, 302,654.10 and 123,426.20 is: 184,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,158.20 : 302,654.10 = 123,426.20 : x
  2. Step 2: Convert to fraction form
    202,158.20/302,654.10 = 123,426.20/x
  3. Step 3: Cross multiply
    202,158.20x = 302,654.10 × 123,426.20
  4. Step 4: Simplify right side
    202,158.20x = 37,355,445,477.42
  5. Step 5: Solve for x
    x = 37,355,445,477.42/202,158.20
  6. Step 6: Final answer
    x = 184,783.23

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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.